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Finding the Third Proportional to 46,845 and 101,175.75

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Solution

The third proportional to 46,845 and 101,175.75 is: 218,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,845 : 101,175.75 = 101,175.75 : x
  2. Step 2: Convert to fraction form
    46,845/101,175.75 = 101,175.75/x
  3. Step 3: Cross multiply
    46,845x = 101,175.75 × 101,175.75
  4. Step 4: Simplify right side
    46,845x = 10,236,532,388.06
  5. Step 5: Solve for x
    x = 10,236,532,388.06/46,845
  6. Step 6: Final answer
    x = 218,519.21

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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.