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Finding the Third Proportional to 92,930 and 204,616

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Solution

The third proportional to 92,930 and 204,616 is: 450,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,930 : 204,616 = 204,616 : x
  2. Step 2: Convert to fraction form
    92,930/204,616 = 204,616/x
  3. Step 3: Cross multiply
    92,930x = 204,616 × 204,616
  4. Step 4: Simplify right side
    92,930x = 41,867,707,456
  5. Step 5: Solve for x
    x = 41,867,707,456/92,930
  6. Step 6: Final answer
    x = 450,529.51

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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.