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Finding the Third Proportional to 83,593.25 and 180,821.13

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Solution

The third proportional to 83,593.25 and 180,821.13 is: 391,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,593.25 : 180,821.13 = 180,821.13 : x
  2. Step 2: Convert to fraction form
    83,593.25/180,821.13 = 180,821.13/x
  3. Step 3: Cross multiply
    83,593.25x = 180,821.13 × 180,821.13
  4. Step 4: Simplify right side
    83,593.25x = 32,696,279,246.27
  5. Step 5: Solve for x
    x = 32,696,279,246.27/83,593.25
  6. Step 6: Final answer
    x = 391,135.40

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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.