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Finding the Third Proportional to 41,982.38 and 88,702.88

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Solution

The third proportional to 41,982.38 and 88,702.88 is: 187,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,982.38 : 88,702.88 = 88,702.88 : x
  2. Step 2: Convert to fraction form
    41,982.38/88,702.88 = 88,702.88/x
  3. Step 3: Cross multiply
    41,982.38x = 88,702.88 × 88,702.88
  4. Step 4: Simplify right side
    41,982.38x = 7,868,200,033.27
  5. Step 5: Solve for x
    x = 7,868,200,033.27/41,982.38
  6. Step 6: Final answer
    x = 187,416.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.