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Finding the Third Proportional to 41,108 and 90,298

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Solution

The third proportional to 41,108 and 90,298 is: 198,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108 : 90,298 = 90,298 : x
  2. Step 2: Convert to fraction form
    41,108/90,298 = 90,298/x
  3. Step 3: Cross multiply
    41,108x = 90,298 × 90,298
  4. Step 4: Simplify right side
    41,108x = 8,153,728,804
  5. Step 5: Solve for x
    x = 8,153,728,804/41,108
  6. Step 6: Final answer
    x = 198,348.95

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