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Finding the Third Proportional to 100,561 and 198,584

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Solution

The third proportional to 100,561 and 198,584 is: 392,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,561 : 198,584 = 198,584 : x
  2. Step 2: Convert to fraction form
    100,561/198,584 = 198,584/x
  3. Step 3: Cross multiply
    100,561x = 198,584 × 198,584
  4. Step 4: Simplify right side
    100,561x = 39,435,605,056
  5. Step 5: Solve for x
    x = 39,435,605,056/100,561
  6. Step 6: Final answer
    x = 392,156.06

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.