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Finding the Third Proportional to 49,290 and 106,884.19

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Solution

The third proportional to 49,290 and 106,884.19 is: 231,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,290 : 106,884.19 = 106,884.19 : x
  2. Step 2: Convert to fraction form
    49,290/106,884.19 = 106,884.19/x
  3. Step 3: Cross multiply
    49,290x = 106,884.19 × 106,884.19
  4. Step 4: Simplify right side
    49,290x = 11,424,229,537.54
  5. Step 5: Solve for x
    x = 11,424,229,537.54/49,290
  6. Step 6: Final answer
    x = 231,775.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.