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Finding the Third Proportional to 92,397 and 199,566

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Solution

The third proportional to 92,397 and 199,566 is: 431,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,397 : 199,566 = 199,566 : x
  2. Step 2: Convert to fraction form
    92,397/199,566 = 199,566/x
  3. Step 3: Cross multiply
    92,397x = 199,566 × 199,566
  4. Step 4: Simplify right side
    92,397x = 39,826,588,356
  5. Step 5: Solve for x
    x = 39,826,588,356/92,397
  6. Step 6: Final answer
    x = 431,037.68

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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.