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Finding the Third Proportional to 97,736 and 206,944

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Solution

The third proportional to 97,736 and 206,944 is: 438,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,736 : 206,944 = 206,944 : x
  2. Step 2: Convert to fraction form
    97,736/206,944 = 206,944/x
  3. Step 3: Cross multiply
    97,736x = 206,944 × 206,944
  4. Step 4: Simplify right side
    97,736x = 42,825,819,136
  5. Step 5: Solve for x
    x = 42,825,819,136/97,736
  6. Step 6: Final answer
    x = 438,178.55

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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.