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Finding the Third Proportional to 80,250.75 and 185,824.13

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Solution

The third proportional to 80,250.75 and 185,824.13 is: 430,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,250.75 : 185,824.13 = 185,824.13 : x
  2. Step 2: Convert to fraction form
    80,250.75/185,824.13 = 185,824.13/x
  3. Step 3: Cross multiply
    80,250.75x = 185,824.13 × 185,824.13
  4. Step 4: Simplify right side
    80,250.75x = 34,530,605,432.02
  5. Step 5: Solve for x
    x = 34,530,605,432.02/80,250.75
  6. Step 6: Final answer
    x = 430,283.90

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.