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Finding the Third Proportional to 89,079 and 196,014

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Solution

The third proportional to 89,079 and 196,014 is: 431,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079 : 196,014 = 196,014 : x
  2. Step 2: Convert to fraction form
    89,079/196,014 = 196,014/x
  3. Step 3: Cross multiply
    89,079x = 196,014 × 196,014
  4. Step 4: Simplify right side
    89,079x = 38,421,488,196
  5. Step 5: Solve for x
    x = 38,421,488,196/89,079
  6. Step 6: Final answer
    x = 431,319.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.