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Finding the Third Proportional to 92,928 and 204,612

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Solution

The third proportional to 92,928 and 204,612 is: 450,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,928 : 204,612 = 204,612 : x
  2. Step 2: Convert to fraction form
    92,928/204,612 = 204,612/x
  3. Step 3: Cross multiply
    92,928x = 204,612 × 204,612
  4. Step 4: Simplify right side
    92,928x = 41,866,070,544
  5. Step 5: Solve for x
    x = 41,866,070,544/92,928
  6. Step 6: Final answer
    x = 450,521.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.