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Finding the Third Proportional to 103,697 and 213,842

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Solution

The third proportional to 103,697 and 213,842 is: 440,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 213,842 = 213,842 : x
  2. Step 2: Convert to fraction form
    103,697/213,842 = 213,842/x
  3. Step 3: Cross multiply
    103,697x = 213,842 × 213,842
  4. Step 4: Simplify right side
    103,697x = 45,728,400,964
  5. Step 5: Solve for x
    x = 45,728,400,964/103,697
  6. Step 6: Final answer
    x = 440,980.94

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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.