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Finding the Third Proportional to 91,161 and 198,771

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Solution

The third proportional to 91,161 and 198,771 is: 433,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,161 : 198,771 = 198,771 : x
  2. Step 2: Convert to fraction form
    91,161/198,771 = 198,771/x
  3. Step 3: Cross multiply
    91,161x = 198,771 × 198,771
  4. Step 4: Simplify right side
    91,161x = 39,509,910,441
  5. Step 5: Solve for x
    x = 39,509,910,441/91,161
  6. Step 6: Final answer
    x = 433,408.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.