Asteroseismology has significantly advanced the field of Galactic archeology, providing essential insights into the formation and evolution of our Galaxy. Here we present an asteroseismic analysis of 103 luminous red giant stars that were observed by Gaia in our Galaxy and the Large Magellanic Cloud. Leveraging a period–luminosity–amplitude relationship determined using data from the OGLE mission, we measure distances to these stars of up to 100 kpc, probing distances more than a factor of 2 beyond where Gaia parallaxes can be measured accurately. We have determined distance uncertainties of 8% or better for 80% of the stars in our sample and reduced known distance uncertainties for stars in this sample by more than a factor of 2 on average. Applying this approach to future Gaia data releases can provide more precise and accurate distances and constrain fundamental properties for 10,000+ stars across our Galaxy.