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Finding the Third Proportional to 96,778.50 and 202,425

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Solution

The third proportional to 96,778.50 and 202,425 is: 423,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,778.50 : 202,425 = 202,425 : x
  2. Step 2: Convert to fraction form
    96,778.50/202,425 = 202,425/x
  3. Step 3: Cross multiply
    96,778.50x = 202,425 × 202,425
  4. Step 4: Simplify right side
    96,778.50x = 40,975,880,625
  5. Step 5: Solve for x
    x = 40,975,880,625/96,778.50
  6. Step 6: Final answer
    x = 423,398.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.