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Finding the Third Proportional to 129,799.97 and 281,743.31

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Solution

The third proportional to 129,799.97 and 281,743.31 is: 611,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,799.97 : 281,743.31 = 281,743.31 : x
  2. Step 2: Convert to fraction form
    129,799.97/281,743.31 = 281,743.31/x
  3. Step 3: Cross multiply
    129,799.97x = 281,743.31 × 281,743.31
  4. Step 4: Simplify right side
    129,799.97x = 79,379,294,138.47
  5. Step 5: Solve for x
    x = 79,379,294,138.47/129,799.97
  6. Step 6: Final answer
    x = 611,550.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.