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Finding the Third Proportional to 46,198 and 99,772

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Solution

The third proportional to 46,198 and 99,772 is: 215,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198 : 99,772 = 99,772 : x
  2. Step 2: Convert to fraction form
    46,198/99,772 = 99,772/x
  3. Step 3: Cross multiply
    46,198x = 99,772 × 99,772
  4. Step 4: Simplify right side
    46,198x = 9,954,451,984
  5. Step 5: Solve for x
    x = 9,954,451,984/46,198
  6. Step 6: Final answer
    x = 215,473.66

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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.