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Finding the Third Proportional to 83,872.97 and 182,508.19

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Solution

The third proportional to 83,872.97 and 182,508.19 is: 397,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,872.97 : 182,508.19 = 182,508.19 : x
  2. Step 2: Convert to fraction form
    83,872.97/182,508.19 = 182,508.19/x
  3. Step 3: Cross multiply
    83,872.97x = 182,508.19 × 182,508.19
  4. Step 4: Simplify right side
    83,872.97x = 33,309,238,504.54
  5. Step 5: Solve for x
    x = 33,309,238,504.54/83,872.97
  6. Step 6: Final answer
    x = 397,139.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.