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Finding the Third Proportional to 46,268 and 100,306

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Solution

The third proportional to 46,268 and 100,306 is: 217,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,268 : 100,306 = 100,306 : x
  2. Step 2: Convert to fraction form
    46,268/100,306 = 100,306/x
  3. Step 3: Cross multiply
    46,268x = 100,306 × 100,306
  4. Step 4: Simplify right side
    46,268x = 10,061,293,636
  5. Step 5: Solve for x
    x = 10,061,293,636/46,268
  6. Step 6: Final answer
    x = 217,456.85

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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.