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Finding the Third Proportional to 44,244 and 95,497

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Solution

The third proportional to 44,244 and 95,497 is: 206,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,244 : 95,497 = 95,497 : x
  2. Step 2: Convert to fraction form
    44,244/95,497 = 95,497/x
  3. Step 3: Cross multiply
    44,244x = 95,497 × 95,497
  4. Step 4: Simplify right side
    44,244x = 9,119,677,009
  5. Step 5: Solve for x
    x = 9,119,677,009/44,244
  6. Step 6: Final answer
    x = 206,122.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.