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Finding the Third Proportional to 47,663.44 and 103,626.84

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Solution

The third proportional to 47,663.44 and 103,626.84 is: 225,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.44 : 103,626.84 = 103,626.84 : x
  2. Step 2: Convert to fraction form
    47,663.44/103,626.84 = 103,626.84/x
  3. Step 3: Cross multiply
    47,663.44x = 103,626.84 × 103,626.84
  4. Step 4: Simplify right side
    47,663.44x = 10,738,522,745.59
  5. Step 5: Solve for x
    x = 10,738,522,745.59/47,663.44
  6. Step 6: Final answer
    x = 225,298.96

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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.