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Finding the Third Proportional to 83,887,350.19 and 182,295,267.75

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Solution

The third proportional to 83,887,350.19 and 182,295,267.75 is: 396,145,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,887,350.19 : 182,295,267.75 = 182,295,267.75 : x
  2. Step 2: Convert to fraction form
    83,887,350.19/182,295,267.75 = 182,295,267.75/x
  3. Step 3: Cross multiply
    83,887,350.19x = 182,295,267.75 × 182,295,267.75
  4. Step 4: Simplify right side
    83,887,350.19x = 33,231,564,644,044,192
  5. Step 5: Solve for x
    x = 33,231,564,644,044,192/83,887,350.19
  6. Step 6: Final answer
    x = 396,145,122.83

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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.