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Finding the Third Proportional to 96,912 and 208,608

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Solution

The third proportional to 96,912 and 208,608 is: 449,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912 : 208,608 = 208,608 : x
  2. Step 2: Convert to fraction form
    96,912/208,608 = 208,608/x
  3. Step 3: Cross multiply
    96,912x = 208,608 × 208,608
  4. Step 4: Simplify right side
    96,912x = 43,517,297,664
  5. Step 5: Solve for x
    x = 43,517,297,664/96,912
  6. Step 6: Final answer
    x = 449,039.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.