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Finding the Third Proportional to 92,355 and 198,836

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Solution

The third proportional to 92,355 and 198,836 is: 428,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,355 : 198,836 = 198,836 : x
  2. Step 2: Convert to fraction form
    92,355/198,836 = 198,836/x
  3. Step 3: Cross multiply
    92,355x = 198,836 × 198,836
  4. Step 4: Simplify right side
    92,355x = 39,535,754,896
  5. Step 5: Solve for x
    x = 39,535,754,896/92,355
  6. Step 6: Final answer
    x = 428,084.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.