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Finding the Third Proportional to 92,110 and 198,314

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Solution

The third proportional to 92,110 and 198,314 is: 426,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110 : 198,314 = 198,314 : x
  2. Step 2: Convert to fraction form
    92,110/198,314 = 198,314/x
  3. Step 3: Cross multiply
    92,110x = 198,314 × 198,314
  4. Step 4: Simplify right side
    92,110x = 39,328,442,596
  5. Step 5: Solve for x
    x = 39,328,442,596/92,110
  6. Step 6: Final answer
    x = 426,972.56

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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.