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Finding the Third Proportional to 96,660 and 212,934

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Solution

The third proportional to 96,660 and 212,934 is: 469,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,660 : 212,934 = 212,934 : x
  2. Step 2: Convert to fraction form
    96,660/212,934 = 212,934/x
  3. Step 3: Cross multiply
    96,660x = 212,934 × 212,934
  4. Step 4: Simplify right side
    96,660x = 45,340,888,356
  5. Step 5: Solve for x
    x = 45,340,888,356/96,660
  6. Step 6: Final answer
    x = 469,076.02

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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.