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Finding the Third Proportional to 96,847 and 209,779

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Solution

The third proportional to 96,847 and 209,779 is: 454,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,847 : 209,779 = 209,779 : x
  2. Step 2: Convert to fraction form
    96,847/209,779 = 209,779/x
  3. Step 3: Cross multiply
    96,847x = 209,779 × 209,779
  4. Step 4: Simplify right side
    96,847x = 44,007,228,841
  5. Step 5: Solve for x
    x = 44,007,228,841/96,847
  6. Step 6: Final answer
    x = 454,399.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.