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Finding the Third Proportional to 135,855.56 and 199,627.03

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Solution

The third proportional to 135,855.56 and 199,627.03 is: 293,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,855.56 : 199,627.03 = 199,627.03 : x
  2. Step 2: Convert to fraction form
    135,855.56/199,627.03 = 199,627.03/x
  3. Step 3: Cross multiply
    135,855.56x = 199,627.03 × 199,627.03
  4. Step 4: Simplify right side
    135,855.56x = 39,850,951,605.69
  5. Step 5: Solve for x
    x = 39,850,951,605.69/135,855.56
  6. Step 6: Final answer
    x = 293,333.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.