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Finding the Third Proportional to 46,869 and 101,223

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Solution

The third proportional to 46,869 and 101,223 is: 218,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,869 : 101,223 = 101,223 : x
  2. Step 2: Convert to fraction form
    46,869/101,223 = 101,223/x
  3. Step 3: Cross multiply
    46,869x = 101,223 × 101,223
  4. Step 4: Simplify right side
    46,869x = 10,246,095,729
  5. Step 5: Solve for x
    x = 10,246,095,729/46,869
  6. Step 6: Final answer
    x = 218,611.36

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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.