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Finding the Third Proportional to 43,149.09 and 89,293.78

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Solution

The third proportional to 43,149.09 and 89,293.78 is: 184,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,149.09 : 89,293.78 = 89,293.78 : x
  2. Step 2: Convert to fraction form
    43,149.09/89,293.78 = 89,293.78/x
  3. Step 3: Cross multiply
    43,149.09x = 89,293.78 × 89,293.78
  4. Step 4: Simplify right side
    43,149.09x = 7,973,379,369.92
  5. Step 5: Solve for x
    x = 7,973,379,369.92/43,149.09
  6. Step 6: Final answer
    x = 184,786.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.