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Finding the Third Proportional to 107,219.53 and 229,163.34

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Solution

The third proportional to 107,219.53 and 229,163.34 is: 489,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,219.53 : 229,163.34 = 229,163.34 : x
  2. Step 2: Convert to fraction form
    107,219.53/229,163.34 = 229,163.34/x
  3. Step 3: Cross multiply
    107,219.53x = 229,163.34 × 229,163.34
  4. Step 4: Simplify right side
    107,219.53x = 52,515,838,118.68
  5. Step 5: Solve for x
    x = 52,515,838,118.68/107,219.53
  6. Step 6: Final answer
    x = 489,797.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.