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Finding the Third Proportional to 131,900.44 and 204,366.56

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Solution

The third proportional to 131,900.44 and 204,366.56 is: 316,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,900.44 : 204,366.56 = 204,366.56 : x
  2. Step 2: Convert to fraction form
    131,900.44/204,366.56 = 204,366.56/x
  3. Step 3: Cross multiply
    131,900.44x = 204,366.56 × 204,366.56
  4. Step 4: Simplify right side
    131,900.44x = 41,765,691,868.07
  5. Step 5: Solve for x
    x = 41,765,691,868.07/131,900.44
  6. Step 6: Final answer
    x = 316,645.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.