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Finding the Third Proportional to 96,719.50 and 212,122.75

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Solution

The third proportional to 96,719.50 and 212,122.75 is: 465,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,719.50 : 212,122.75 = 212,122.75 : x
  2. Step 2: Convert to fraction form
    96,719.50/212,122.75 = 212,122.75/x
  3. Step 3: Cross multiply
    96,719.50x = 212,122.75 × 212,122.75
  4. Step 4: Simplify right side
    96,719.50x = 44,996,061,067.56
  5. Step 5: Solve for x
    x = 44,996,061,067.56/96,719.50
  6. Step 6: Final answer
    x = 465,222.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.