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Finding the Third Proportional to 92,187 and 198,387

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Solution

The third proportional to 92,187 and 198,387 is: 426,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,187 : 198,387 = 198,387 : x
  2. Step 2: Convert to fraction form
    92,187/198,387 = 198,387/x
  3. Step 3: Cross multiply
    92,187x = 198,387 × 198,387
  4. Step 4: Simplify right side
    92,187x = 39,357,401,769
  5. Step 5: Solve for x
    x = 39,357,401,769/92,187
  6. Step 6: Final answer
    x = 426,930.06

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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.