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Finding the Third Proportional to 107,231.34 and 211,771.65

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Solution

The third proportional to 107,231.34 and 211,771.65 is: 418,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,231.34 : 211,771.65 = 211,771.65 : x
  2. Step 2: Convert to fraction form
    107,231.34/211,771.65 = 211,771.65/x
  3. Step 3: Cross multiply
    107,231.34x = 211,771.65 × 211,771.65
  4. Step 4: Simplify right side
    107,231.34x = 44,847,232,736.40
  5. Step 5: Solve for x
    x = 44,847,232,736.40/107,231.34
  6. Step 6: Final answer
    x = 418,228.77

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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.