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Finding the Third Proportional to 107,797.50 and 229,203

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Solution

The third proportional to 107,797.50 and 229,203 is: 487,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,797.50 : 229,203 = 229,203 : x
  2. Step 2: Convert to fraction form
    107,797.50/229,203 = 229,203/x
  3. Step 3: Cross multiply
    107,797.50x = 229,203 × 229,203
  4. Step 4: Simplify right side
    107,797.50x = 52,534,015,209
  5. Step 5: Solve for x
    x = 52,534,015,209/107,797.50
  6. Step 6: Final answer
    x = 487,339.83

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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.