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Finding the Third Proportional to 47,232.75 and 99,797.25

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Solution

The third proportional to 47,232.75 and 99,797.25 is: 210,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,232.75 : 99,797.25 = 99,797.25 : x
  2. Step 2: Convert to fraction form
    47,232.75/99,797.25 = 99,797.25/x
  3. Step 3: Cross multiply
    47,232.75x = 99,797.25 × 99,797.25
  4. Step 4: Simplify right side
    47,232.75x = 9,959,491,107.56
  5. Step 5: Solve for x
    x = 9,959,491,107.56/47,232.75
  6. Step 6: Final answer
    x = 210,859.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.