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Finding the Third Proportional to 76,565,849 and 117,687,198

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Solution

The third proportional to 76,565,849 and 117,687,198 is: 180,893,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,849 : 117,687,198 = 117,687,198 : x
  2. Step 2: Convert to fraction form
    76,565,849/117,687,198 = 117,687,198/x
  3. Step 3: Cross multiply
    76,565,849x = 117,687,198 × 117,687,198
  4. Step 4: Simplify right side
    76,565,849x = 13,850,276,573,091,204
  5. Step 5: Solve for x
    x = 13,850,276,573,091,204/76,565,849
  6. Step 6: Final answer
    x = 180,893,658.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.