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Finding the Third Proportional to 91,746 and 198,932

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Solution

The third proportional to 91,746 and 198,932 is: 431,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746 : 198,932 = 198,932 : x
  2. Step 2: Convert to fraction form
    91,746/198,932 = 198,932/x
  3. Step 3: Cross multiply
    91,746x = 198,932 × 198,932
  4. Step 4: Simplify right side
    91,746x = 39,573,940,624
  5. Step 5: Solve for x
    x = 39,573,940,624/91,746
  6. Step 6: Final answer
    x = 431,342.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.