We present a study of the Lyalpha forest at z<0.4 from which we conclude that at least 20% of the total baryons in the universe are located in the highly-ionized gas traced by broad Lyalpha absorbers. The cool photoionized low-z intergalactic medium (IGM) probed by narrow Lyalpha absorbers contains about 30% of the baryons. We further find that the ratio of broad to narrow Lyalpha absorbers is higher at z<0.4 than at 1.5<z<3.6, implying that a larger fraction of the low redshift universe is hotter and/or more kinematically disturbed. We base these conclusions on an analysis of 7 QSOs observed with both FUSE and the HST/STIS E140M ultraviolet echelle spectrograph. Our sample has 341 HI absorbers with a total unblocked redshift path of 2.064. The observed absorber population is complete for log N_HI>13.2, with a column density distribution f(N_HI) propto N^-beta_HI. For narrow (b<40 km/s) absorbers beta = 1.76+/-0.06. The distribution of the Doppler parameter b at low redshift implies two populations: narrow (b<40 km/s) and broad (b>40 km/s) Lyalpha absorbers (referred to as NLAs and BLAs, respectively). Both the NLAs and some BLAs probe the cool (T~10^4 K) photoionized IGM. The BLAs also probe the highly-ionized gas of the warm-hot IGM (T~10^5-10^6 K). The distribution of b has a more prominent high velocity tail at z<0.4 than at 1.5<z<3.6, which results in median and mean b-values that are 15-30% higher at low z than at high z. The ratio of the number density of BLAs to NLAs at z<0.4 is a factor of ~3 higher than at 1.5<z<3.6.
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