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Finding the Third Proportional to 98,206.88 and 150,162.75

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Solution

The third proportional to 98,206.88 and 150,162.75 is: 229,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206.88 : 150,162.75 = 150,162.75 : x
  2. Step 2: Convert to fraction form
    98,206.88/150,162.75 = 150,162.75/x
  3. Step 3: Cross multiply
    98,206.88x = 150,162.75 × 150,162.75
  4. Step 4: Simplify right side
    98,206.88x = 22,548,851,487.56
  5. Step 5: Solve for x
    x = 22,548,851,487.56/98,206.88
  6. Step 6: Final answer
    x = 229,605.63

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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.