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Finding the Third Proportional to 41,190 and 89,931

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Solution

The third proportional to 41,190 and 89,931 is: 196,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,190 : 89,931 = 89,931 : x
  2. Step 2: Convert to fraction form
    41,190/89,931 = 89,931/x
  3. Step 3: Cross multiply
    41,190x = 89,931 × 89,931
  4. Step 4: Simplify right side
    41,190x = 8,087,584,761
  5. Step 5: Solve for x
    x = 8,087,584,761/41,190
  6. Step 6: Final answer
    x = 196,348.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.