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Finding the Third Proportional to 91,538 and 198,301

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Solution

The third proportional to 91,538 and 198,301 is: 429,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,538 : 198,301 = 198,301 : x
  2. Step 2: Convert to fraction form
    91,538/198,301 = 198,301/x
  3. Step 3: Cross multiply
    91,538x = 198,301 × 198,301
  4. Step 4: Simplify right side
    91,538x = 39,323,286,601
  5. Step 5: Solve for x
    x = 39,323,286,601/91,538
  6. Step 6: Final answer
    x = 429,584.29

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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.