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Finding the Third Proportional to 96,844.25 and 209,249.50

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Solution

The third proportional to 96,844.25 and 209,249.50 is: 452,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,844.25 : 209,249.50 = 209,249.50 : x
  2. Step 2: Convert to fraction form
    96,844.25/209,249.50 = 209,249.50/x
  3. Step 3: Cross multiply
    96,844.25x = 209,249.50 × 209,249.50
  4. Step 4: Simplify right side
    96,844.25x = 43,785,353,250.25
  5. Step 5: Solve for x
    x = 43,785,353,250.25/96,844.25
  6. Step 6: Final answer
    x = 452,121.35

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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.