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Finding the Third Proportional to 96,424.50 and 207,649.50

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Solution

The third proportional to 96,424.50 and 207,649.50 is: 447,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,424.50 : 207,649.50 = 207,649.50 : x
  2. Step 2: Convert to fraction form
    96,424.50/207,649.50 = 207,649.50/x
  3. Step 3: Cross multiply
    96,424.50x = 207,649.50 × 207,649.50
  4. Step 4: Simplify right side
    96,424.50x = 43,118,314,850.25
  5. Step 5: Solve for x
    x = 43,118,314,850.25/96,424.50
  6. Step 6: Final answer
    x = 447,171.78

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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.