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Finding the Third Proportional to 96,845 and 209,252

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Solution

The third proportional to 96,845 and 209,252 is: 452,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,845 : 209,252 = 209,252 : x
  2. Step 2: Convert to fraction form
    96,845/209,252 = 209,252/x
  3. Step 3: Cross multiply
    96,845x = 209,252 × 209,252
  4. Step 4: Simplify right side
    96,845x = 43,786,399,504
  5. Step 5: Solve for x
    x = 43,786,399,504/96,845
  6. Step 6: Final answer
    x = 452,128.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.