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Finding the Third Proportional to 131,899.22 and 204,364.69

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Solution

The third proportional to 131,899.22 and 204,364.69 is: 316,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,899.22 : 204,364.69 = 204,364.69 : x
  2. Step 2: Convert to fraction form
    131,899.22/204,364.69 = 204,364.69/x
  3. Step 3: Cross multiply
    131,899.22x = 204,364.69 × 204,364.69
  4. Step 4: Simplify right side
    131,899.22x = 41,764,925,496.97
  5. Step 5: Solve for x
    x = 41,764,925,496.97/131,899.22
  6. Step 6: Final answer
    x = 316,642.71

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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.