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Finding the Third Proportional to 47,132.25 and 101,644.50

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Solution

The third proportional to 47,132.25 and 101,644.50 is: 219,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132.25 : 101,644.50 = 101,644.50 : x
  2. Step 2: Convert to fraction form
    47,132.25/101,644.50 = 101,644.50/x
  3. Step 3: Cross multiply
    47,132.25x = 101,644.50 × 101,644.50
  4. Step 4: Simplify right side
    47,132.25x = 10,331,604,380.25
  5. Step 5: Solve for x
    x = 10,331,604,380.25/47,132.25
  6. Step 6: Final answer
    x = 219,204.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.