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Finding the Third Proportional to 45,198 and 97,686

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Solution

The third proportional to 45,198 and 97,686 is: 211,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 97,686 = 97,686 : x
  2. Step 2: Convert to fraction form
    45,198/97,686 = 97,686/x
  3. Step 3: Cross multiply
    45,198x = 97,686 × 97,686
  4. Step 4: Simplify right side
    45,198x = 9,542,554,596
  5. Step 5: Solve for x
    x = 9,542,554,596/45,198
  6. Step 6: Final answer
    x = 211,127.81

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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.