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Finding the Third Proportional to 92,693 and 202,375

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Solution

The third proportional to 92,693 and 202,375 is: 441,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,693 : 202,375 = 202,375 : x
  2. Step 2: Convert to fraction form
    92,693/202,375 = 202,375/x
  3. Step 3: Cross multiply
    92,693x = 202,375 × 202,375
  4. Step 4: Simplify right side
    92,693x = 40,955,640,625
  5. Step 5: Solve for x
    x = 40,955,640,625/92,693
  6. Step 6: Final answer
    x = 441,841.79

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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.