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Finding the Third Proportional to 96,908 and 207,824

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Solution

The third proportional to 96,908 and 207,824 is: 445,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,908 : 207,824 = 207,824 : x
  2. Step 2: Convert to fraction form
    96,908/207,824 = 207,824/x
  3. Step 3: Cross multiply
    96,908x = 207,824 × 207,824
  4. Step 4: Simplify right side
    96,908x = 43,190,814,976
  5. Step 5: Solve for x
    x = 43,190,814,976/96,908
  6. Step 6: Final answer
    x = 445,688.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.