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Finding the Third Proportional to 47,638.13 and 101,609.44

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Solution

The third proportional to 47,638.13 and 101,609.44 is: 216,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,638.13 : 101,609.44 = 101,609.44 : x
  2. Step 2: Convert to fraction form
    47,638.13/101,609.44 = 101,609.44/x
  3. Step 3: Cross multiply
    47,638.13x = 101,609.44 × 101,609.44
  4. Step 4: Simplify right side
    47,638.13x = 10,324,477,789.07
  5. Step 5: Solve for x
    x = 10,324,477,789.07/47,638.13
  6. Step 6: Final answer
    x = 216,727.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.