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Finding the Third Proportional to 96,869 and 209,029

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Solution

The third proportional to 96,869 and 209,029 is: 451,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,869 : 209,029 = 209,029 : x
  2. Step 2: Convert to fraction form
    96,869/209,029 = 209,029/x
  3. Step 3: Cross multiply
    96,869x = 209,029 × 209,029
  4. Step 4: Simplify right side
    96,869x = 43,693,122,841
  5. Step 5: Solve for x
    x = 43,693,122,841/96,869
  6. Step 6: Final answer
    x = 451,053.72

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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.