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Finding the Third Proportional to 96,648 and 196,012

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Solution

The third proportional to 96,648 and 196,012 is: 397,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648 : 196,012 = 196,012 : x
  2. Step 2: Convert to fraction form
    96,648/196,012 = 196,012/x
  3. Step 3: Cross multiply
    96,648x = 196,012 × 196,012
  4. Step 4: Simplify right side
    96,648x = 38,420,704,144
  5. Step 5: Solve for x
    x = 38,420,704,144/96,648
  6. Step 6: Final answer
    x = 397,532.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.