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Finding the Third Proportional to 100,165 and 204,040

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Solution

The third proportional to 100,165 and 204,040 is: 415,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165 : 204,040 = 204,040 : x
  2. Step 2: Convert to fraction form
    100,165/204,040 = 204,040/x
  3. Step 3: Cross multiply
    100,165x = 204,040 × 204,040
  4. Step 4: Simplify right side
    100,165x = 41,632,321,600
  5. Step 5: Solve for x
    x = 41,632,321,600/100,165
  6. Step 6: Final answer
    x = 415,637.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.