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Finding the Third Proportional to 83,338,384 and 182,812,448

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Solution

The third proportional to 83,338,384 and 182,812,448 is: 401,020,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,338,384 : 182,812,448 = 182,812,448 : x
  2. Step 2: Convert to fraction form
    83,338,384/182,812,448 = 182,812,448/x
  3. Step 3: Cross multiply
    83,338,384x = 182,812,448 × 182,812,448
  4. Step 4: Simplify right side
    83,338,384x = 33,420,391,143,752,704
  5. Step 5: Solve for x
    x = 33,420,391,143,752,704/83,338,384
  6. Step 6: Final answer
    x = 401,020,388.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.