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Finding the Third Proportional to 89,548 and 193,891

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Solution

The third proportional to 89,548 and 193,891 is: 419,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,548 : 193,891 = 193,891 : x
  2. Step 2: Convert to fraction form
    89,548/193,891 = 193,891/x
  3. Step 3: Cross multiply
    89,548x = 193,891 × 193,891
  4. Step 4: Simplify right side
    89,548x = 37,593,719,881
  5. Step 5: Solve for x
    x = 37,593,719,881/89,548
  6. Step 6: Final answer
    x = 419,816.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.