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Finding the Third Proportional to 187,511,306 and 411,327,908

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Solution

The third proportional to 187,511,306 and 411,327,908 is: 902,295,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,511,306 : 411,327,908 = 411,327,908 : x
  2. Step 2: Convert to fraction form
    187,511,306/411,327,908 = 411,327,908/x
  3. Step 3: Cross multiply
    187,511,306x = 411,327,908 × 411,327,908
  4. Step 4: Simplify right side
    187,511,306x = 169,190,647,899,656,448
  5. Step 5: Solve for x
    x = 169,190,647,899,656,448/187,511,306
  6. Step 6: Final answer
    x = 902,295,714.90

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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.