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Finding the Third Proportional to 96,918 and 209,112

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Solution

The third proportional to 96,918 and 209,112 is: 451,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,918 : 209,112 = 209,112 : x
  2. Step 2: Convert to fraction form
    96,918/209,112 = 209,112/x
  3. Step 3: Cross multiply
    96,918x = 209,112 × 209,112
  4. Step 4: Simplify right side
    96,918x = 43,727,828,544
  5. Step 5: Solve for x
    x = 43,727,828,544/96,918
  6. Step 6: Final answer
    x = 451,183.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.