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Finding the Third Proportional to 50,456.67 and 109,201.92

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Solution

The third proportional to 50,456.67 and 109,201.92 is: 236,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,456.67 : 109,201.92 = 109,201.92 : x
  2. Step 2: Convert to fraction form
    50,456.67/109,201.92 = 109,201.92/x
  3. Step 3: Cross multiply
    50,456.67x = 109,201.92 × 109,201.92
  4. Step 4: Simplify right side
    50,456.67x = 11,925,059,741.19
  5. Step 5: Solve for x
    x = 11,925,059,741.19/50,456.67
  6. Step 6: Final answer
    x = 236,342.57

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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.