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Finding the Third Proportional to 46,203 and 100,176

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Solution

The third proportional to 46,203 and 100,176 is: 217,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,203 : 100,176 = 100,176 : x
  2. Step 2: Convert to fraction form
    46,203/100,176 = 100,176/x
  3. Step 3: Cross multiply
    46,203x = 100,176 × 100,176
  4. Step 4: Simplify right side
    46,203x = 10,035,230,976
  5. Step 5: Solve for x
    x = 10,035,230,976/46,203
  6. Step 6: Final answer
    x = 217,198.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.