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Finding the Third Proportional to 97,040 and 205,744

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Solution

The third proportional to 97,040 and 205,744 is: 436,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,040 : 205,744 = 205,744 : x
  2. Step 2: Convert to fraction form
    97,040/205,744 = 205,744/x
  3. Step 3: Cross multiply
    97,040x = 205,744 × 205,744
  4. Step 4: Simplify right side
    97,040x = 42,330,593,536
  5. Step 5: Solve for x
    x = 42,330,593,536/97,040
  6. Step 6: Final answer
    x = 436,217.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.