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Finding the Third Proportional to 100,122.19 and 218,707.31

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Solution

The third proportional to 100,122.19 and 218,707.31 is: 477,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.19 : 218,707.31 = 218,707.31 : x
  2. Step 2: Convert to fraction form
    100,122.19/218,707.31 = 218,707.31/x
  3. Step 3: Cross multiply
    100,122.19x = 218,707.31 × 218,707.31
  4. Step 4: Simplify right side
    100,122.19x = 47,832,888,540.97
  5. Step 5: Solve for x
    x = 47,832,888,540.97/100,122.19
  6. Step 6: Final answer
    x = 477,745.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.