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Finding the Third Proportional to 98,646 and 150,431

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Solution

The third proportional to 98,646 and 150,431 is: 229,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,646 : 150,431 = 150,431 : x
  2. Step 2: Convert to fraction form
    98,646/150,431 = 150,431/x
  3. Step 3: Cross multiply
    98,646x = 150,431 × 150,431
  4. Step 4: Simplify right side
    98,646x = 22,629,485,761
  5. Step 5: Solve for x
    x = 22,629,485,761/98,646
  6. Step 6: Final answer
    x = 229,400.95

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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.