A full reading for Rat × Libra meeting Dog × 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.
Given a healthy dollop of genius by both its Oriental and Occidental pedigrees, the Rat/Libra is one of the brightest, wittiest, and most scintillating personalities around. You are always broadcasting, which, if your friends and acquaintances can stand up to the constant barrage of me-isms, may often prove to be rewarding in both an emotional and a financial sense, as with great ego comes great generosity.
The Dog/Gemini's wanderings are modulated and conform to a pattern that is predictable to the knowing eye -- the avoidance of the unpleasant. It's really as simple as that. You don't like being couch-bound; a regular exercise regimen is recommended, and indeed preferred by that Gemini athlete in you.