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Finding the Third Proportional to 96,969.28 and 213,378.56

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Solution

The third proportional to 96,969.28 and 213,378.56 is: 469,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969.28 : 213,378.56 = 213,378.56 : x
  2. Step 2: Convert to fraction form
    96,969.28/213,378.56 = 213,378.56/x
  3. Step 3: Cross multiply
    96,969.28x = 213,378.56 × 213,378.56
  4. Step 4: Simplify right side
    96,969.28x = 45,530,410,934.57
  5. Step 5: Solve for x
    x = 45,530,410,934.57/96,969.28
  6. Step 6: Final answer
    x = 469,534.38

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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.