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Finding the Third Proportional to 217,715,074,857 and 302,715,409,018.50

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Solution

The third proportional to 217,715,074,857 and 302,715,409,018.50 is: 420,901,579,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,715,074,857 : 302,715,409,018.50 = 302,715,409,018.50 : x
  2. Step 2: Convert to fraction form
    217,715,074,857/302,715,409,018.50 = 302,715,409,018.50/x
  3. Step 3: Cross multiply
    217,715,074,857x = 302,715,409,018.50 × 302,715,409,018.50
  4. Step 4: Simplify right side
    217,715,074,857x = 91,636,618,857,237,748,645,888
  5. Step 5: Solve for x
    x = 91,636,618,857,237,748,645,888/217,715,074,857
  6. Step 6: Final answer
    x = 420,901,579,357.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.