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Finding the Third Proportional to 89,149 and 195,795

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Solution

The third proportional to 89,149 and 195,795 is: 430,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,149 : 195,795 = 195,795 : x
  2. Step 2: Convert to fraction form
    89,149/195,795 = 195,795/x
  3. Step 3: Cross multiply
    89,149x = 195,795 × 195,795
  4. Step 4: Simplify right side
    89,149x = 38,335,682,025
  5. Step 5: Solve for x
    x = 38,335,682,025/89,149
  6. Step 6: Final answer
    x = 430,018.08

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Why These Related Problems?

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