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Finding the Third Proportional to 94,230.50 and 204,821

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Solution

The third proportional to 94,230.50 and 204,821 is: 445,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,230.50 : 204,821 = 204,821 : x
  2. Step 2: Convert to fraction form
    94,230.50/204,821 = 204,821/x
  3. Step 3: Cross multiply
    94,230.50x = 204,821 × 204,821
  4. Step 4: Simplify right side
    94,230.50x = 41,951,642,041
  5. Step 5: Solve for x
    x = 41,951,642,041/94,230.50
  6. Step 6: Final answer
    x = 445,202.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.