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Finding the Third Proportional to 96,824.25 and 209,733.75

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Solution

The third proportional to 96,824.25 and 209,733.75 is: 454,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,824.25 : 209,733.75 = 209,733.75 : x
  2. Step 2: Convert to fraction form
    96,824.25/209,733.75 = 209,733.75/x
  3. Step 3: Cross multiply
    96,824.25x = 209,733.75 × 209,733.75
  4. Step 4: Simplify right side
    96,824.25x = 43,988,245,889.06
  5. Step 5: Solve for x
    x = 43,988,245,889.06/96,824.25
  6. Step 6: Final answer
    x = 454,310.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.