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Finding the Third Proportional to 103,698 and 213,844

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Solution

The third proportional to 103,698 and 213,844 is: 440,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698 : 213,844 = 213,844 : x
  2. Step 2: Convert to fraction form
    103,698/213,844 = 213,844/x
  3. Step 3: Cross multiply
    103,698x = 213,844 × 213,844
  4. Step 4: Simplify right side
    103,698x = 45,729,256,336
  5. Step 5: Solve for x
    x = 45,729,256,336/103,698
  6. Step 6: Final answer
    x = 440,984.94

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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.