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Finding the Third Proportional to 110,861 and 197,098

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Solution

The third proportional to 110,861 and 197,098 is: 350,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,861 : 197,098 = 197,098 : x
  2. Step 2: Convert to fraction form
    110,861/197,098 = 197,098/x
  3. Step 3: Cross multiply
    110,861x = 197,098 × 197,098
  4. Step 4: Simplify right side
    110,861x = 38,847,621,604
  5. Step 5: Solve for x
    x = 38,847,621,604/110,861
  6. Step 6: Final answer
    x = 350,417.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.