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Finding the Third Proportional to 103,659 and 213,861

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Solution

The third proportional to 103,659 and 213,861 is: 441,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 213,861 = 213,861 : x
  2. Step 2: Convert to fraction form
    103,659/213,861 = 213,861/x
  3. Step 3: Cross multiply
    103,659x = 213,861 × 213,861
  4. Step 4: Simplify right side
    103,659x = 45,736,527,321
  5. Step 5: Solve for x
    x = 45,736,527,321/103,659
  6. Step 6: Final answer
    x = 441,221.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.