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Finding the Third Proportional to 46,548 and 99,198

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Solution

The third proportional to 46,548 and 99,198 is: 211,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,548 : 99,198 = 99,198 : x
  2. Step 2: Convert to fraction form
    46,548/99,198 = 99,198/x
  3. Step 3: Cross multiply
    46,548x = 99,198 × 99,198
  4. Step 4: Simplify right side
    46,548x = 9,840,243,204
  5. Step 5: Solve for x
    x = 9,840,243,204/46,548
  6. Step 6: Final answer
    x = 211,399.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.