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Finding the Third Proportional to 96,441 and 208,738

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Solution

The third proportional to 96,441 and 208,738 is: 451,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,441 : 208,738 = 208,738 : x
  2. Step 2: Convert to fraction form
    96,441/208,738 = 208,738/x
  3. Step 3: Cross multiply
    96,441x = 208,738 × 208,738
  4. Step 4: Simplify right side
    96,441x = 43,571,552,644
  5. Step 5: Solve for x
    x = 43,571,552,644/96,441
  6. Step 6: Final answer
    x = 451,794.91

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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.