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Finding the Third Proportional to 107,189 and 228,616.75

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Solution

The third proportional to 107,189 and 228,616.75 is: 487,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,189 : 228,616.75 = 228,616.75 : x
  2. Step 2: Convert to fraction form
    107,189/228,616.75 = 228,616.75/x
  3. Step 3: Cross multiply
    107,189x = 228,616.75 × 228,616.75
  4. Step 4: Simplify right side
    107,189x = 52,265,618,380.56
  5. Step 5: Solve for x
    x = 52,265,618,380.56/107,189
  6. Step 6: Final answer
    x = 487,602.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.