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Finding the Third Proportional to 96,836 and 212,680

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Solution

The third proportional to 96,836 and 212,680 is: 467,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,836 : 212,680 = 212,680 : x
  2. Step 2: Convert to fraction form
    96,836/212,680 = 212,680/x
  3. Step 3: Cross multiply
    96,836x = 212,680 × 212,680
  4. Step 4: Simplify right side
    96,836x = 45,232,782,400
  5. Step 5: Solve for x
    x = 45,232,782,400/96,836
  6. Step 6: Final answer
    x = 467,107.09

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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.