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Finding the Third Proportional to 95,661 and 208,546

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Solution

The third proportional to 95,661 and 208,546 is: 454,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,661 : 208,546 = 208,546 : x
  2. Step 2: Convert to fraction form
    95,661/208,546 = 208,546/x
  3. Step 3: Cross multiply
    95,661x = 208,546 × 208,546
  4. Step 4: Simplify right side
    95,661x = 43,491,434,116
  5. Step 5: Solve for x
    x = 43,491,434,116/95,661
  6. Step 6: Final answer
    x = 454,641.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.