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Finding the Third Proportional to 80,553,847.89 and 119,320,755.12

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Solution

The third proportional to 80,553,847.89 and 119,320,755.12 is: 176,744,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,553,847.89 : 119,320,755.12 = 119,320,755.12 : x
  2. Step 2: Convert to fraction form
    80,553,847.89/119,320,755.12 = 119,320,755.12/x
  3. Step 3: Cross multiply
    80,553,847.89x = 119,320,755.12 × 119,320,755.12
  4. Step 4: Simplify right side
    80,553,847.89x = 14,237,442,601,736,424
  5. Step 5: Solve for x
    x = 14,237,442,601,736,424/80,553,847.89
  6. Step 6: Final answer
    x = 176,744,413.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.