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Finding the Third Proportional to 102,014.44 and 217,140.75

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Solution

The third proportional to 102,014.44 and 217,140.75 is: 462,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.44 : 217,140.75 = 217,140.75 : x
  2. Step 2: Convert to fraction form
    102,014.44/217,140.75 = 217,140.75/x
  3. Step 3: Cross multiply
    102,014.44x = 217,140.75 × 217,140.75
  4. Step 4: Simplify right side
    102,014.44x = 47,150,105,310.56
  5. Step 5: Solve for x
    x = 47,150,105,310.56/102,014.44
  6. Step 6: Final answer
    x = 462,190.51

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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.