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Finding the Third Proportional to 107,233 and 211,774.75

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Solution

The third proportional to 107,233 and 211,774.75 is: 418,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233 : 211,774.75 = 211,774.75 : x
  2. Step 2: Convert to fraction form
    107,233/211,774.75 = 211,774.75/x
  3. Step 3: Cross multiply
    107,233x = 211,774.75 × 211,774.75
  4. Step 4: Simplify right side
    107,233x = 44,848,544,737.56
  5. Step 5: Solve for x
    x = 44,848,544,737.56/107,233
  6. Step 6: Final answer
    x = 418,234.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.