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Finding the Third Proportional to 96,336 and 204,336

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Solution

The third proportional to 96,336 and 204,336 is: 433,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,336 : 204,336 = 204,336 : x
  2. Step 2: Convert to fraction form
    96,336/204,336 = 204,336/x
  3. Step 3: Cross multiply
    96,336x = 204,336 × 204,336
  4. Step 4: Simplify right side
    96,336x = 41,753,200,896
  5. Step 5: Solve for x
    x = 41,753,200,896/96,336
  6. Step 6: Final answer
    x = 433,412.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.