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Finding the Third Proportional to 89,941 and 197,378

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Solution

The third proportional to 89,941 and 197,378 is: 433,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,941 : 197,378 = 197,378 : x
  2. Step 2: Convert to fraction form
    89,941/197,378 = 197,378/x
  3. Step 3: Cross multiply
    89,941x = 197,378 × 197,378
  4. Step 4: Simplify right side
    89,941x = 38,958,074,884
  5. Step 5: Solve for x
    x = 38,958,074,884/89,941
  6. Step 6: Final answer
    x = 433,151.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.