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Finding the Third Proportional to 96,214 and 205,496

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Solution

The third proportional to 96,214 and 205,496 is: 438,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,214 : 205,496 = 205,496 : x
  2. Step 2: Convert to fraction form
    96,214/205,496 = 205,496/x
  3. Step 3: Cross multiply
    96,214x = 205,496 × 205,496
  4. Step 4: Simplify right side
    96,214x = 42,228,606,016
  5. Step 5: Solve for x
    x = 42,228,606,016/96,214
  6. Step 6: Final answer
    x = 438,902.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.