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Finding the Third Proportional to 71,797,898 and 173,101,047

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Solution

The third proportional to 71,797,898 and 173,101,047 is: 417,337,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,797,898 : 173,101,047 = 173,101,047 : x
  2. Step 2: Convert to fraction form
    71,797,898/173,101,047 = 173,101,047/x
  3. Step 3: Cross multiply
    71,797,898x = 173,101,047 × 173,101,047
  4. Step 4: Simplify right side
    71,797,898x = 29,963,972,472,496,208
  5. Step 5: Solve for x
    x = 29,963,972,472,496,208/71,797,898
  6. Step 6: Final answer
    x = 417,337,739.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.