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Finding the Third Proportional to 80,930 and 177,920.50

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Solution

The third proportional to 80,930 and 177,920.50 is: 391,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,930 : 177,920.50 = 177,920.50 : x
  2. Step 2: Convert to fraction form
    80,930/177,920.50 = 177,920.50/x
  3. Step 3: Cross multiply
    80,930x = 177,920.50 × 177,920.50
  4. Step 4: Simplify right side
    80,930x = 31,655,704,320.25
  5. Step 5: Solve for x
    x = 31,655,704,320.25/80,930
  6. Step 6: Final answer
    x = 391,149.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.