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Finding the Third Proportional to 96,658 and 204,932

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Solution

The third proportional to 96,658 and 204,932 is: 434,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,658 : 204,932 = 204,932 : x
  2. Step 2: Convert to fraction form
    96,658/204,932 = 204,932/x
  3. Step 3: Cross multiply
    96,658x = 204,932 × 204,932
  4. Step 4: Simplify right side
    96,658x = 41,997,124,624
  5. Step 5: Solve for x
    x = 41,997,124,624/96,658
  6. Step 6: Final answer
    x = 434,491.97

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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.