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Finding the Third Proportional to 140,843.81 and 218,100.09

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Solution

The third proportional to 140,843.81 and 218,100.09 is: 337,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,843.81 : 218,100.09 = 218,100.09 : x
  2. Step 2: Convert to fraction form
    140,843.81/218,100.09 = 218,100.09/x
  3. Step 3: Cross multiply
    140,843.81x = 218,100.09 × 218,100.09
  4. Step 4: Simplify right side
    140,843.81x = 47,567,650,893.76
  5. Step 5: Solve for x
    x = 47,567,650,893.76/140,843.81
  6. Step 6: Final answer
    x = 337,733.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.