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Finding the Third Proportional to 45,322 and 97,198

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Solution

The third proportional to 45,322 and 97,198 is: 208,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 97,198 = 97,198 : x
  2. Step 2: Convert to fraction form
    45,322/97,198 = 97,198/x
  3. Step 3: Cross multiply
    45,322x = 97,198 × 97,198
  4. Step 4: Simplify right side
    45,322x = 9,447,451,204
  5. Step 5: Solve for x
    x = 9,447,451,204/45,322
  6. Step 6: Final answer
    x = 208,451.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.