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Finding the Third Proportional to 101,305.69 and 218,148.19

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Solution

The third proportional to 101,305.69 and 218,148.19 is: 469,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,305.69 : 218,148.19 = 218,148.19 : x
  2. Step 2: Convert to fraction form
    101,305.69/218,148.19 = 218,148.19/x
  3. Step 3: Cross multiply
    101,305.69x = 218,148.19 × 218,148.19
  4. Step 4: Simplify right side
    101,305.69x = 47,588,631,709.54
  5. Step 5: Solve for x
    x = 47,588,631,709.54/101,305.69
  6. Step 6: Final answer
    x = 469,752.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.