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Finding the Third Proportional to 92,377 and 199,001

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Solution

The third proportional to 92,377 and 199,001 is: 428,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,377 : 199,001 = 199,001 : x
  2. Step 2: Convert to fraction form
    92,377/199,001 = 199,001/x
  3. Step 3: Cross multiply
    92,377x = 199,001 × 199,001
  4. Step 4: Simplify right side
    92,377x = 39,601,398,001
  5. Step 5: Solve for x
    x = 39,601,398,001/92,377
  6. Step 6: Final answer
    x = 428,693.27

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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.