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Finding the Third Proportional to 96,108 and 208,836

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Solution

The third proportional to 96,108 and 208,836 is: 453,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,108 : 208,836 = 208,836 : x
  2. Step 2: Convert to fraction form
    96,108/208,836 = 208,836/x
  3. Step 3: Cross multiply
    96,108x = 208,836 × 208,836
  4. Step 4: Simplify right side
    96,108x = 43,612,474,896
  5. Step 5: Solve for x
    x = 43,612,474,896/96,108
  6. Step 6: Final answer
    x = 453,786.10

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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.