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Finding the Third Proportional to 107,770.50 and 229,169.25

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Solution

The third proportional to 107,770.50 and 229,169.25 is: 487,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,770.50 : 229,169.25 = 229,169.25 : x
  2. Step 2: Convert to fraction form
    107,770.50/229,169.25 = 229,169.25/x
  3. Step 3: Cross multiply
    107,770.50x = 229,169.25 × 229,169.25
  4. Step 4: Simplify right side
    107,770.50x = 52,518,545,145.56
  5. Step 5: Solve for x
    x = 52,518,545,145.56/107,770.50
  6. Step 6: Final answer
    x = 487,318.38

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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.