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Finding the Third Proportional to 96,505 and 209,110

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Solution

The third proportional to 96,505 and 209,110 is: 453,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,505 : 209,110 = 209,110 : x
  2. Step 2: Convert to fraction form
    96,505/209,110 = 209,110/x
  3. Step 3: Cross multiply
    96,505x = 209,110 × 209,110
  4. Step 4: Simplify right side
    96,505x = 43,726,992,100
  5. Step 5: Solve for x
    x = 43,726,992,100/96,505
  6. Step 6: Final answer
    x = 453,105.97

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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.