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Finding the Third Proportional to 96,192 and 205,452

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Solution

The third proportional to 96,192 and 205,452 is: 438,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,192 : 205,452 = 205,452 : x
  2. Step 2: Convert to fraction form
    96,192/205,452 = 205,452/x
  3. Step 3: Cross multiply
    96,192x = 205,452 × 205,452
  4. Step 4: Simplify right side
    96,192x = 42,210,524,304
  5. Step 5: Solve for x
    x = 42,210,524,304/96,192
  6. Step 6: Final answer
    x = 438,815.33

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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.