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Finding the Third Proportional to 46,544 and 103,400

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Solution

The third proportional to 46,544 and 103,400 is: 229,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,544 : 103,400 = 103,400 : x
  2. Step 2: Convert to fraction form
    46,544/103,400 = 103,400/x
  3. Step 3: Cross multiply
    46,544x = 103,400 × 103,400
  4. Step 4: Simplify right side
    46,544x = 10,691,560,000
  5. Step 5: Solve for x
    x = 10,691,560,000/46,544
  6. Step 6: Final answer
    x = 229,708.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.