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Finding the Third Proportional to 50,468.06 and 107,998.31

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Solution

The third proportional to 50,468.06 and 107,998.31 is: 231,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.06 : 107,998.31 = 107,998.31 : x
  2. Step 2: Convert to fraction form
    50,468.06/107,998.31 = 107,998.31/x
  3. Step 3: Cross multiply
    50,468.06x = 107,998.31 × 107,998.31
  4. Step 4: Simplify right side
    50,468.06x = 11,663,635,502.85
  5. Step 5: Solve for x
    x = 11,663,635,502.85/50,468.06
  6. Step 6: Final answer
    x = 231,109.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.