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Finding the Third Proportional to 47,233.13 and 100,723.50

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Solution

The third proportional to 47,233.13 and 100,723.50 is: 214,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.13 : 100,723.50 = 100,723.50 : x
  2. Step 2: Convert to fraction form
    47,233.13/100,723.50 = 100,723.50/x
  3. Step 3: Cross multiply
    47,233.13x = 100,723.50 × 100,723.50
  4. Step 4: Simplify right side
    47,233.13x = 10,145,223,452.25
  5. Step 5: Solve for x
    x = 10,145,223,452.25/47,233.13
  6. Step 6: Final answer
    x = 214,790.43

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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.