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Finding the Third Proportional to 83,599.13 and 180,833.25

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Solution

The third proportional to 83,599.13 and 180,833.25 is: 391,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599.13 : 180,833.25 = 180,833.25 : x
  2. Step 2: Convert to fraction form
    83,599.13/180,833.25 = 180,833.25/x
  3. Step 3: Cross multiply
    83,599.13x = 180,833.25 × 180,833.25
  4. Step 4: Simplify right side
    83,599.13x = 32,700,664,305.56
  5. Step 5: Solve for x
    x = 32,700,664,305.56/83,599.13
  6. Step 6: Final answer
    x = 391,160.37

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Why These Related Problems?

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