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Finding the Third Proportional to 45,206 and 96,244

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Solution

The third proportional to 45,206 and 96,244 is: 204,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,206 : 96,244 = 96,244 : x
  2. Step 2: Convert to fraction form
    45,206/96,244 = 96,244/x
  3. Step 3: Cross multiply
    45,206x = 96,244 × 96,244
  4. Step 4: Simplify right side
    45,206x = 9,262,907,536
  5. Step 5: Solve for x
    x = 9,262,907,536/45,206
  6. Step 6: Final answer
    x = 204,904.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.