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Finding the Third Proportional to 96,091.31 and 206,944.88

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Solution

The third proportional to 96,091.31 and 206,944.88 is: 445,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,091.31 : 206,944.88 = 206,944.88 : x
  2. Step 2: Convert to fraction form
    96,091.31/206,944.88 = 206,944.88/x
  3. Step 3: Cross multiply
    96,091.31x = 206,944.88 × 206,944.88
  4. Step 4: Simplify right side
    96,091.31x = 42,826,181,288.77
  5. Step 5: Solve for x
    x = 42,826,181,288.77/96,091.31
  6. Step 6: Final answer
    x = 445,682.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.