New calculations of electron transport in helium-rare-gas mixtures are presented. It is shown that the elastic collisions with helium in helium Ramsauer rare gas mixtures play analogous roles to weak inelastic collisions in molecular gas Ramsauer rare gas mixtures. The results illustrate that the swarm analyses of helium Ramsauer rare gas mixtures provide unique momentum transfer cross sections for the Ramsauer rare gases at low electron energies. The results significantly impact the low energy inelastic cross sections of molecular gases derived from swarm measurements.