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Finding the Third Proportional to 41,912 and 91,218

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Solution

The third proportional to 41,912 and 91,218 is: 198,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,912 : 91,218 = 91,218 : x
  2. Step 2: Convert to fraction form
    41,912/91,218 = 91,218/x
  3. Step 3: Cross multiply
    41,912x = 91,218 × 91,218
  4. Step 4: Simplify right side
    41,912x = 8,320,723,524
  5. Step 5: Solve for x
    x = 8,320,723,524/41,912
  6. Step 6: Final answer
    x = 198,528.43

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Why These Related Problems?

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