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Finding the Third Proportional to 89,138 and 195,844

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Solution

The third proportional to 89,138 and 195,844 is: 430,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,138 : 195,844 = 195,844 : x
  2. Step 2: Convert to fraction form
    89,138/195,844 = 195,844/x
  3. Step 3: Cross multiply
    89,138x = 195,844 × 195,844
  4. Step 4: Simplify right side
    89,138x = 38,354,872,336
  5. Step 5: Solve for x
    x = 38,354,872,336/89,138
  6. Step 6: Final answer
    x = 430,286.44

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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.