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Finding the Third Proportional to 83,948.91 and 181,429.88

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Solution

The third proportional to 83,948.91 and 181,429.88 is: 392,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,948.91 : 181,429.88 = 181,429.88 : x
  2. Step 2: Convert to fraction form
    83,948.91/181,429.88 = 181,429.88/x
  3. Step 3: Cross multiply
    83,948.91x = 181,429.88 × 181,429.88
  4. Step 4: Simplify right side
    83,948.91x = 32,916,799,542.52
  5. Step 5: Solve for x
    x = 32,916,799,542.52/83,948.91
  6. Step 6: Final answer
    x = 392,105.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.