A full reading for Rat × Sagittarius meeting Goat × Gemini is on the way. In the meantime, the score above is computed from the canonical element matrix and sign-cycle distance, and the profiles below cover each side individually.
Always traveling and never getting to the destination -- this sums up the adventuresome and picaresque Rat/Sagittarius. With much of the candid nature of your occidental Sagittarius sign heritage, you are very much the cards-on-the-table sort of interpersonal negotiators. Too many hidden agendas can cause you to take a powder, and this is as true of your career as it is of your relationships.
The Goat/Gemini will talk a good game about "needing your space," but in reality you need people around you at all times, and not just any people, the right people -- that is, people who will provide input for your rapacious sense of ego. You need to feel connected, and any medium of communication will serve to dispel your sense of isolation -- phone, internet, even television are better than being left alone to listen to the hollow repetition of your own Gemini fears.