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Finding the Third Proportional to 83,920.13 and 182,596.88

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Solution

The third proportional to 83,920.13 and 182,596.88 is: 397,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.13 : 182,596.88 = 182,596.88 : x
  2. Step 2: Convert to fraction form
    83,920.13/182,596.88 = 182,596.88/x
  3. Step 3: Cross multiply
    83,920.13x = 182,596.88 × 182,596.88
  4. Step 4: Simplify right side
    83,920.13x = 33,341,618,759.77
  5. Step 5: Solve for x
    x = 33,341,618,759.77/83,920.13
  6. Step 6: Final answer
    x = 397,301.82

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