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Finding the Third Proportional to 103,677 and 213,896

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Solution

The third proportional to 103,677 and 213,896 is: 441,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677 : 213,896 = 213,896 : x
  2. Step 2: Convert to fraction form
    103,677/213,896 = 213,896/x
  3. Step 3: Cross multiply
    103,677x = 213,896 × 213,896
  4. Step 4: Simplify right side
    103,677x = 45,751,498,816
  5. Step 5: Solve for x
    x = 45,751,498,816/103,677
  6. Step 6: Final answer
    x = 441,288.80

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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.