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Finding the Third Proportional to 89,126 and 198,177

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Solution

The third proportional to 89,126 and 198,177 is: 440,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,126 : 198,177 = 198,177 : x
  2. Step 2: Convert to fraction form
    89,126/198,177 = 198,177/x
  3. Step 3: Cross multiply
    89,126x = 198,177 × 198,177
  4. Step 4: Simplify right side
    89,126x = 39,274,123,329
  5. Step 5: Solve for x
    x = 39,274,123,329/89,126
  6. Step 6: Final answer
    x = 440,658.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.