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Finding the Third Proportional to 98,192.25 and 150,144.38

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Solution

The third proportional to 98,192.25 and 150,144.38 is: 229,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,192.25 : 150,144.38 = 150,144.38 : x
  2. Step 2: Convert to fraction form
    98,192.25/150,144.38 = 150,144.38/x
  3. Step 3: Cross multiply
    98,192.25x = 150,144.38 × 150,144.38
  4. Step 4: Simplify right side
    98,192.25x = 22,543,333,344.14
  5. Step 5: Solve for x
    x = 22,543,333,344.14/98,192.25
  6. Step 6: Final answer
    x = 229,583.63

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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.