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Finding the Third Proportional to 96,800 and 212,296

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Solution

The third proportional to 96,800 and 212,296 is: 465,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,800 : 212,296 = 212,296 : x
  2. Step 2: Convert to fraction form
    96,800/212,296 = 212,296/x
  3. Step 3: Cross multiply
    96,800x = 212,296 × 212,296
  4. Step 4: Simplify right side
    96,800x = 45,069,591,616
  5. Step 5: Solve for x
    x = 45,069,591,616/96,800
  6. Step 6: Final answer
    x = 465,594.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.