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Finding the Third Proportional to 50,206.08 and 108,676.69

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Solution

The third proportional to 50,206.08 and 108,676.69 is: 235,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.08 : 108,676.69 = 108,676.69 : x
  2. Step 2: Convert to fraction form
    50,206.08/108,676.69 = 108,676.69/x
  3. Step 3: Cross multiply
    50,206.08x = 108,676.69 × 108,676.69
  4. Step 4: Simplify right side
    50,206.08x = 11,810,622,405.97
  5. Step 5: Solve for x
    x = 11,810,622,405.97/50,206.08
  6. Step 6: Final answer
    x = 235,242.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.