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Finding the Third Proportional to 96,028.50 and 209,517

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Solution

The third proportional to 96,028.50 and 209,517 is: 457,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,028.50 : 209,517 = 209,517 : x
  2. Step 2: Convert to fraction form
    96,028.50/209,517 = 209,517/x
  3. Step 3: Cross multiply
    96,028.50x = 209,517 × 209,517
  4. Step 4: Simplify right side
    96,028.50x = 43,897,373,289
  5. Step 5: Solve for x
    x = 43,897,373,289/96,028.50
  6. Step 6: Final answer
    x = 457,128.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.