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Finding the Third Proportional to 76,565,976 and 117,687,384

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Solution

The third proportional to 76,565,976 and 117,687,384 is: 180,893,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,976 : 117,687,384 = 117,687,384 : x
  2. Step 2: Convert to fraction form
    76,565,976/117,687,384 = 117,687,384/x
  3. Step 3: Cross multiply
    76,565,976x = 117,687,384 × 117,687,384
  4. Step 4: Simplify right side
    76,565,976x = 13,850,320,352,763,456
  5. Step 5: Solve for x
    x = 13,850,320,352,763,456/76,565,976
  6. Step 6: Final answer
    x = 180,893,930.65

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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.