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Finding the Third Proportional to 98,690 and 150,491

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Solution

The third proportional to 98,690 and 150,491 is: 229,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,690 : 150,491 = 150,491 : x
  2. Step 2: Convert to fraction form
    98,690/150,491 = 150,491/x
  3. Step 3: Cross multiply
    98,690x = 150,491 × 150,491
  4. Step 4: Simplify right side
    98,690x = 22,647,541,081
  5. Step 5: Solve for x
    x = 22,647,541,081/98,690
  6. Step 6: Final answer
    x = 229,481.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.