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Finding the Third Proportional to 97,964 and 204,404

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Solution

The third proportional to 97,964 and 204,404 is: 426,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,964 : 204,404 = 204,404 : x
  2. Step 2: Convert to fraction form
    97,964/204,404 = 204,404/x
  3. Step 3: Cross multiply
    97,964x = 204,404 × 204,404
  4. Step 4: Simplify right side
    97,964x = 41,780,995,216
  5. Step 5: Solve for x
    x = 41,780,995,216/97,964
  6. Step 6: Final answer
    x = 426,493.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.