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Finding the Third Proportional to 44,447 and 97,198

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Solution

The third proportional to 44,447 and 97,198 is: 212,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,447 : 97,198 = 97,198 : x
  2. Step 2: Convert to fraction form
    44,447/97,198 = 97,198/x
  3. Step 3: Cross multiply
    44,447x = 97,198 × 97,198
  4. Step 4: Simplify right side
    44,447x = 9,447,451,204
  5. Step 5: Solve for x
    x = 9,447,451,204/44,447
  6. Step 6: Final answer
    x = 212,555.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.