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Finding the Third Proportional to 97,967 and 200,083

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Solution

The third proportional to 97,967 and 200,083 is: 408,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967 : 200,083 = 200,083 : x
  2. Step 2: Convert to fraction form
    97,967/200,083 = 200,083/x
  3. Step 3: Cross multiply
    97,967x = 200,083 × 200,083
  4. Step 4: Simplify right side
    97,967x = 40,033,206,889
  5. Step 5: Solve for x
    x = 40,033,206,889/97,967
  6. Step 6: Final answer
    x = 408,639.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.