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Finding the Third Proportional to 95,661 and 210,195

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Solution

The third proportional to 95,661 and 210,195 is: 461,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,661 : 210,195 = 210,195 : x
  2. Step 2: Convert to fraction form
    95,661/210,195 = 210,195/x
  3. Step 3: Cross multiply
    95,661x = 210,195 × 210,195
  4. Step 4: Simplify right side
    95,661x = 44,181,938,025
  5. Step 5: Solve for x
    x = 44,181,938,025/95,661
  6. Step 6: Final answer
    x = 461,859.46

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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.