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Finding the Third Proportional to 83,897,231 and 182,317,748.50

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Solution

The third proportional to 83,897,231 and 182,317,748.50 is: 396,196,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897,231 : 182,317,748.50 = 182,317,748.50 : x
  2. Step 2: Convert to fraction form
    83,897,231/182,317,748.50 = 182,317,748.50/x
  3. Step 3: Cross multiply
    83,897,231x = 182,317,748.50 × 182,317,748.50
  4. Step 4: Simplify right side
    83,897,231x = 33,239,761,418,109,252
  5. Step 5: Solve for x
    x = 33,239,761,418,109,252/83,897,231
  6. Step 6: Final answer
    x = 396,196,167.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.