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Finding the Third Proportional to 92,052 and 198,591

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Solution

The third proportional to 92,052 and 198,591 is: 428,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052 : 198,591 = 198,591 : x
  2. Step 2: Convert to fraction form
    92,052/198,591 = 198,591/x
  3. Step 3: Cross multiply
    92,052x = 198,591 × 198,591
  4. Step 4: Simplify right side
    92,052x = 39,438,385,281
  5. Step 5: Solve for x
    x = 39,438,385,281/92,052
  6. Step 6: Final answer
    x = 428,435.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.