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Finding the Third Proportional to 97,963 and 200,077

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Solution

The third proportional to 97,963 and 200,077 is: 408,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963 : 200,077 = 200,077 : x
  2. Step 2: Convert to fraction form
    97,963/200,077 = 200,077/x
  3. Step 3: Cross multiply
    97,963x = 200,077 × 200,077
  4. Step 4: Simplify right side
    97,963x = 40,030,805,929
  5. Step 5: Solve for x
    x = 40,030,805,929/97,963
  6. Step 6: Final answer
    x = 408,631.89

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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.