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Finding the Third Proportional to 98,183.71 and 150,131.21

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Solution

The third proportional to 98,183.71 and 150,131.21 is: 229,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183.71 : 150,131.21 = 150,131.21 : x
  2. Step 2: Convert to fraction form
    98,183.71/150,131.21 = 150,131.21/x
  3. Step 3: Cross multiply
    98,183.71x = 150,131.21 × 150,131.21
  4. Step 4: Simplify right side
    98,183.71x = 22,539,379,031.43
  5. Step 5: Solve for x
    x = 22,539,379,031.43/98,183.71
  6. Step 6: Final answer
    x = 229,563.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.