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Finding the Third Proportional to 92,531 and 199,099

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Solution

The third proportional to 92,531 and 199,099 is: 428,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,531 : 199,099 = 199,099 : x
  2. Step 2: Convert to fraction form
    92,531/199,099 = 199,099/x
  3. Step 3: Cross multiply
    92,531x = 199,099 × 199,099
  4. Step 4: Simplify right side
    92,531x = 39,640,411,801
  5. Step 5: Solve for x
    x = 39,640,411,801/92,531
  6. Step 6: Final answer
    x = 428,401.42

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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.