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Finding the Third Proportional to 47,981,779 and 103,609,151

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Solution

The third proportional to 47,981,779 and 103,609,151 is: 223,727,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981,779 : 103,609,151 = 103,609,151 : x
  2. Step 2: Convert to fraction form
    47,981,779/103,609,151 = 103,609,151/x
  3. Step 3: Cross multiply
    47,981,779x = 103,609,151 × 103,609,151
  4. Step 4: Simplify right side
    47,981,779x = 10,734,856,170,940,800
  5. Step 5: Solve for x
    x = 10,734,856,170,940,800/47,981,779
  6. Step 6: Final answer
    x = 223,727,764.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.