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Finding the Third Proportional to 103,683 and 204,928

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Solution

The third proportional to 103,683 and 204,928 is: 405,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 204,928 = 204,928 : x
  2. Step 2: Convert to fraction form
    103,683/204,928 = 204,928/x
  3. Step 3: Cross multiply
    103,683x = 204,928 × 204,928
  4. Step 4: Simplify right side
    103,683x = 41,995,485,184
  5. Step 5: Solve for x
    x = 41,995,485,184/103,683
  6. Step 6: Final answer
    x = 405,037.33

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.