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Finding the Third Proportional to 42,685.50 and 92,209.13

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Solution

The third proportional to 42,685.50 and 92,209.13 is: 199,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,685.50 : 92,209.13 = 92,209.13 : x
  2. Step 2: Convert to fraction form
    42,685.50/92,209.13 = 92,209.13/x
  3. Step 3: Cross multiply
    42,685.50x = 92,209.13 × 92,209.13
  4. Step 4: Simplify right side
    42,685.50x = 8,502,522,733.27
  5. Step 5: Solve for x
    x = 8,502,522,733.27/42,685.50
  6. Step 6: Final answer
    x = 199,189.95

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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.