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Finding the Third Proportional to 47,679.47 and 103,661.44

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Solution

The third proportional to 47,679.47 and 103,661.44 is: 225,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.47 : 103,661.44 = 103,661.44 : x
  2. Step 2: Convert to fraction form
    47,679.47/103,661.44 = 103,661.44/x
  3. Step 3: Cross multiply
    47,679.47x = 103,661.44 × 103,661.44
  4. Step 4: Simplify right side
    47,679.47x = 10,745,693,624.57
  5. Step 5: Solve for x
    x = 10,745,693,624.57/47,679.47
  6. Step 6: Final answer
    x = 225,373.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.