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Finding the Third Proportional to 89,676 and 196,767

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Solution

The third proportional to 89,676 and 196,767 is: 431,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676 : 196,767 = 196,767 : x
  2. Step 2: Convert to fraction form
    89,676/196,767 = 196,767/x
  3. Step 3: Cross multiply
    89,676x = 196,767 × 196,767
  4. Step 4: Simplify right side
    89,676x = 38,717,252,289
  5. Step 5: Solve for x
    x = 38,717,252,289/89,676
  6. Step 6: Final answer
    x = 431,745.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.