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Finding the Third Proportional to 41,663 and 90,436

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Solution

The third proportional to 41,663 and 90,436 is: 196,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,663 : 90,436 = 90,436 : x
  2. Step 2: Convert to fraction form
    41,663/90,436 = 90,436/x
  3. Step 3: Cross multiply
    41,663x = 90,436 × 90,436
  4. Step 4: Simplify right side
    41,663x = 8,178,670,096
  5. Step 5: Solve for x
    x = 8,178,670,096/41,663
  6. Step 6: Final answer
    x = 196,305.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.