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Finding the Third Proportional to 103,683 and 213,909

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Solution

The third proportional to 103,683 and 213,909 is: 441,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 213,909 = 213,909 : x
  2. Step 2: Convert to fraction form
    103,683/213,909 = 213,909/x
  3. Step 3: Cross multiply
    103,683x = 213,909 × 213,909
  4. Step 4: Simplify right side
    103,683x = 45,757,060,281
  5. Step 5: Solve for x
    x = 45,757,060,281/103,683
  6. Step 6: Final answer
    x = 441,316.90

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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.