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Finding the Third Proportional to 101,301.75 and 218,314.69

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Solution

The third proportional to 101,301.75 and 218,314.69 is: 470,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,301.75 : 218,314.69 = 218,314.69 : x
  2. Step 2: Convert to fraction form
    101,301.75/218,314.69 = 218,314.69/x
  3. Step 3: Cross multiply
    101,301.75x = 218,314.69 × 218,314.69
  4. Step 4: Simplify right side
    101,301.75x = 47,661,302,778.22
  5. Step 5: Solve for x
    x = 47,661,302,778.22/101,301.75
  6. Step 6: Final answer
    x = 470,488.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.