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Finding the Third Proportional to 46,821 and 103,186

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Solution

The third proportional to 46,821 and 103,186 is: 227,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,821 : 103,186 = 103,186 : x
  2. Step 2: Convert to fraction form
    46,821/103,186 = 103,186/x
  3. Step 3: Cross multiply
    46,821x = 103,186 × 103,186
  4. Step 4: Simplify right side
    46,821x = 10,647,350,596
  5. Step 5: Solve for x
    x = 10,647,350,596/46,821
  6. Step 6: Final answer
    x = 227,405.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.