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Finding the Third Proportional to 132,396.19 and 188,671.78

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Solution

The third proportional to 132,396.19 and 188,671.78 is: 268,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,396.19 : 188,671.78 = 188,671.78 : x
  2. Step 2: Convert to fraction form
    132,396.19/188,671.78 = 188,671.78/x
  3. Step 3: Cross multiply
    132,396.19x = 188,671.78 × 188,671.78
  4. Step 4: Simplify right side
    132,396.19x = 35,597,041,040.05
  5. Step 5: Solve for x
    x = 35,597,041,040.05/132,396.19
  6. Step 6: Final answer
    x = 268,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.