One of Kepler's three laws of planetary motion states that the square of the period, $P$, of a body orbiting the sun is proportional to the cube of its average distance, $d$, from the sun. The Earth has a period of 365 days and its distance from the sun is approximately $93,000,000$ miles.

(a) Find $P$ as a function of $d$.
$P(d) =$ help (formulas)

(b) The planet Venus has an average distance from the sun of $67,000,000$ miles. How many earth days are in a Venus year -- in other words, what is the period of the planet Venus?
days (Round to nearest day and do not enter commas in your answer.) help (numbers)