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Finding the Third Proportional to 41,988.38 and 92,167.88

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Solution

The third proportional to 41,988.38 and 92,167.88 is: 202,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,988.38 : 92,167.88 = 92,167.88 : x
  2. Step 2: Convert to fraction form
    41,988.38/92,167.88 = 92,167.88/x
  3. Step 3: Cross multiply
    41,988.38x = 92,167.88 × 92,167.88
  4. Step 4: Simplify right side
    41,988.38x = 8,494,917,182.02
  5. Step 5: Solve for x
    x = 8,494,917,182.02/41,988.38
  6. Step 6: Final answer
    x = 202,315.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.