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Finding the Third Proportional to 50,990.31 and 108,986.92

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Solution

The third proportional to 50,990.31 and 108,986.92 is: 232,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,990.31 : 108,986.92 = 108,986.92 : x
  2. Step 2: Convert to fraction form
    50,990.31/108,986.92 = 108,986.92/x
  3. Step 3: Cross multiply
    50,990.31x = 108,986.92 × 108,986.92
  4. Step 4: Simplify right side
    50,990.31x = 11,878,149,565.52
  5. Step 5: Solve for x
    x = 11,878,149,565.52/50,990.31
  6. Step 6: Final answer
    x = 232,949.15

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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.