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Finding the Third Proportional to 50,899 and 109,686.75

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Solution

The third proportional to 50,899 and 109,686.75 is: 236,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,899 : 109,686.75 = 109,686.75 : x
  2. Step 2: Convert to fraction form
    50,899/109,686.75 = 109,686.75/x
  3. Step 3: Cross multiply
    50,899x = 109,686.75 × 109,686.75
  4. Step 4: Simplify right side
    50,899x = 12,031,183,125.56
  5. Step 5: Solve for x
    x = 12,031,183,125.56/50,899
  6. Step 6: Final answer
    x = 236,373.66

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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.