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Finding the Third Proportional to 96,469 and 200,214

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Solution

The third proportional to 96,469 and 200,214 is: 415,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,469 : 200,214 = 200,214 : x
  2. Step 2: Convert to fraction form
    96,469/200,214 = 200,214/x
  3. Step 3: Cross multiply
    96,469x = 200,214 × 200,214
  4. Step 4: Simplify right side
    96,469x = 40,085,645,796
  5. Step 5: Solve for x
    x = 40,085,645,796/96,469
  6. Step 6: Final answer
    x = 415,528.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.