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Finding the Third Proportional to 47,020.50 and 100,419.75

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Solution

The third proportional to 47,020.50 and 100,419.75 is: 214,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020.50 : 100,419.75 = 100,419.75 : x
  2. Step 2: Convert to fraction form
    47,020.50/100,419.75 = 100,419.75/x
  3. Step 3: Cross multiply
    47,020.50x = 100,419.75 × 100,419.75
  4. Step 4: Simplify right side
    47,020.50x = 10,084,126,190.06
  5. Step 5: Solve for x
    x = 10,084,126,190.06/47,020.50
  6. Step 6: Final answer
    x = 214,462.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.