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Finding the Third Proportional to 100,041 and 218,670

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Solution

The third proportional to 100,041 and 218,670 is: 477,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041 : 218,670 = 218,670 : x
  2. Step 2: Convert to fraction form
    100,041/218,670 = 218,670/x
  3. Step 3: Cross multiply
    100,041x = 218,670 × 218,670
  4. Step 4: Simplify right side
    100,041x = 47,816,568,900
  5. Step 5: Solve for x
    x = 47,816,568,900/100,041
  6. Step 6: Final answer
    x = 477,969.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.