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Finding the Third Proportional to 104,661 and 214,830

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Solution

The third proportional to 104,661 and 214,830 is: 440,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,661 : 214,830 = 214,830 : x
  2. Step 2: Convert to fraction form
    104,661/214,830 = 214,830/x
  3. Step 3: Cross multiply
    104,661x = 214,830 × 214,830
  4. Step 4: Simplify right side
    104,661x = 46,151,928,900
  5. Step 5: Solve for x
    x = 46,151,928,900/104,661
  6. Step 6: Final answer
    x = 440,965.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.