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Finding the Third Proportional to 96,879 and 209,045

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Solution

The third proportional to 96,879 and 209,045 is: 451,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,879 : 209,045 = 209,045 : x
  2. Step 2: Convert to fraction form
    96,879/209,045 = 209,045/x
  3. Step 3: Cross multiply
    96,879x = 209,045 × 209,045
  4. Step 4: Simplify right side
    96,879x = 43,699,812,025
  5. Step 5: Solve for x
    x = 43,699,812,025/96,879
  6. Step 6: Final answer
    x = 451,076.21

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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.