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Finding the Third Proportional to 96,914 and 207,652

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Solution

The third proportional to 96,914 and 207,652 is: 444,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,914 : 207,652 = 207,652 : x
  2. Step 2: Convert to fraction form
    96,914/207,652 = 207,652/x
  3. Step 3: Cross multiply
    96,914x = 207,652 × 207,652
  4. Step 4: Simplify right side
    96,914x = 43,119,353,104
  5. Step 5: Solve for x
    x = 43,119,353,104/96,914
  6. Step 6: Final answer
    x = 444,923.88

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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.