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Finding the Third Proportional to 144,036 and 218,044.13

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Solution

The third proportional to 144,036 and 218,044.13 is: 330,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,036 : 218,044.13 = 218,044.13 : x
  2. Step 2: Convert to fraction form
    144,036/218,044.13 = 218,044.13/x
  3. Step 3: Cross multiply
    144,036x = 218,044.13 × 218,044.13
  4. Step 4: Simplify right side
    144,036x = 47,543,240,447.02
  5. Step 5: Solve for x
    x = 47,543,240,447.02/144,036
  6. Step 6: Final answer
    x = 330,078.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.