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Finding the Third Proportional to 90,566 and 196,691

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Solution

The third proportional to 90,566 and 196,691 is: 427,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,566 : 196,691 = 196,691 : x
  2. Step 2: Convert to fraction form
    90,566/196,691 = 196,691/x
  3. Step 3: Cross multiply
    90,566x = 196,691 × 196,691
  4. Step 4: Simplify right side
    90,566x = 38,687,349,481
  5. Step 5: Solve for x
    x = 38,687,349,481/90,566
  6. Step 6: Final answer
    x = 427,173.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.