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Finding the Third Proportional to 49,327.31 and 106,536.52

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Solution

The third proportional to 49,327.31 and 106,536.52 is: 230,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,327.31 : 106,536.52 = 106,536.52 : x
  2. Step 2: Convert to fraction form
    49,327.31/106,536.52 = 106,536.52/x
  3. Step 3: Cross multiply
    49,327.31x = 106,536.52 × 106,536.52
  4. Step 4: Simplify right side
    49,327.31x = 11,350,029,161.52
  5. Step 5: Solve for x
    x = 11,350,029,161.52/49,327.31
  6. Step 6: Final answer
    x = 230,096.24

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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.