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Finding the Third Proportional to 46,832 and 101,992

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Solution

The third proportional to 46,832 and 101,992 is: 222,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,832 : 101,992 = 101,992 : x
  2. Step 2: Convert to fraction form
    46,832/101,992 = 101,992/x
  3. Step 3: Cross multiply
    46,832x = 101,992 × 101,992
  4. Step 4: Simplify right side
    46,832x = 10,402,368,064
  5. Step 5: Solve for x
    x = 10,402,368,064/46,832
  6. Step 6: Final answer
    x = 222,120.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.