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Finding the Third Proportional to 91,626 and 198,916

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Solution

The third proportional to 91,626 and 198,916 is: 431,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,626 : 198,916 = 198,916 : x
  2. Step 2: Convert to fraction form
    91,626/198,916 = 198,916/x
  3. Step 3: Cross multiply
    91,626x = 198,916 × 198,916
  4. Step 4: Simplify right side
    91,626x = 39,567,575,056
  5. Step 5: Solve for x
    x = 39,567,575,056/91,626
  6. Step 6: Final answer
    x = 431,837.85

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Why These Related Problems?

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