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Finding the Third Proportional to 99,796 and 150,728

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Solution

The third proportional to 99,796 and 150,728 is: 227,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,796 : 150,728 = 150,728 : x
  2. Step 2: Convert to fraction form
    99,796/150,728 = 150,728/x
  3. Step 3: Cross multiply
    99,796x = 150,728 × 150,728
  4. Step 4: Simplify right side
    99,796x = 22,718,929,984
  5. Step 5: Solve for x
    x = 22,718,929,984/99,796
  6. Step 6: Final answer
    x = 227,653.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.