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Finding the Third Proportional to 90,676 and 196,418

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Solution

The third proportional to 90,676 and 196,418 is: 425,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,676 : 196,418 = 196,418 : x
  2. Step 2: Convert to fraction form
    90,676/196,418 = 196,418/x
  3. Step 3: Cross multiply
    90,676x = 196,418 × 196,418
  4. Step 4: Simplify right side
    90,676x = 38,580,030,724
  5. Step 5: Solve for x
    x = 38,580,030,724/90,676
  6. Step 6: Final answer
    x = 425,471.25

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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.