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Finding the Third Proportional to 45,198 and 98,037

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Solution

The third proportional to 45,198 and 98,037 is: 212,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 98,037 = 98,037 : x
  2. Step 2: Convert to fraction form
    45,198/98,037 = 98,037/x
  3. Step 3: Cross multiply
    45,198x = 98,037 × 98,037
  4. Step 4: Simplify right side
    45,198x = 9,611,253,369
  5. Step 5: Solve for x
    x = 9,611,253,369/45,198
  6. Step 6: Final answer
    x = 212,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.