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Finding the Third Proportional to 90,016 and 196,976

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Solution

The third proportional to 90,016 and 196,976 is: 431,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,016 : 196,976 = 196,976 : x
  2. Step 2: Convert to fraction form
    90,016/196,976 = 196,976/x
  3. Step 3: Cross multiply
    90,016x = 196,976 × 196,976
  4. Step 4: Simplify right side
    90,016x = 38,799,544,576
  5. Step 5: Solve for x
    x = 38,799,544,576/90,016
  6. Step 6: Final answer
    x = 431,029.42

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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.