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Finding the Third Proportional to 92,711.50 and 215,680

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Solution

The third proportional to 92,711.50 and 215,680 is: 501,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,711.50 : 215,680 = 215,680 : x
  2. Step 2: Convert to fraction form
    92,711.50/215,680 = 215,680/x
  3. Step 3: Cross multiply
    92,711.50x = 215,680 × 215,680
  4. Step 4: Simplify right side
    92,711.50x = 46,517,862,400
  5. Step 5: Solve for x
    x = 46,517,862,400/92,711.50
  6. Step 6: Final answer
    x = 501,748.57

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.