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Finding the Third Proportional to 96,963 and 213,366

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Solution

The third proportional to 96,963 and 213,366 is: 469,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963 : 213,366 = 213,366 : x
  2. Step 2: Convert to fraction form
    96,963/213,366 = 213,366/x
  3. Step 3: Cross multiply
    96,963x = 213,366 × 213,366
  4. Step 4: Simplify right side
    96,963x = 45,525,049,956
  5. Step 5: Solve for x
    x = 45,525,049,956/96,963
  6. Step 6: Final answer
    x = 469,509.50

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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.