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Finding the Third Proportional to 82,498,617 and 181,471,149

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Solution

The third proportional to 82,498,617 and 181,471,149 is: 399,179,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,498,617 : 181,471,149 = 181,471,149 : x
  2. Step 2: Convert to fraction form
    82,498,617/181,471,149 = 181,471,149/x
  3. Step 3: Cross multiply
    82,498,617x = 181,471,149 × 181,471,149
  4. Step 4: Simplify right side
    82,498,617x = 32,931,777,919,380,200
  5. Step 5: Solve for x
    x = 32,931,777,919,380,200/82,498,617
  6. Step 6: Final answer
    x = 399,179,757.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.