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Finding the Third Proportional to 91,622 and 198,912

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Solution

The third proportional to 91,622 and 198,912 is: 431,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,622 : 198,912 = 198,912 : x
  2. Step 2: Convert to fraction form
    91,622/198,912 = 198,912/x
  3. Step 3: Cross multiply
    91,622x = 198,912 × 198,912
  4. Step 4: Simplify right side
    91,622x = 39,565,983,744
  5. Step 5: Solve for x
    x = 39,565,983,744/91,622
  6. Step 6: Final answer
    x = 431,839.34

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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.