Uranus's average distance from the sun as multiple of earth's average distance from the sun is 19.2 AU.
According to Kepler's third law, the square of the period of revolution of the planets is equal to the cube of their mean distance from the sun in astronomical units.
Using this law;
T^2 = r^3
T = period of revolution = 84 years
r = distance = ?
r = 3√T^2
r = 3√( 84)^2
r = 19.2 AU
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