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Finding the Third Proportional to 46,266 and 100,302

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Solution

The third proportional to 46,266 and 100,302 is: 217,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,266 : 100,302 = 100,302 : x
  2. Step 2: Convert to fraction form
    46,266/100,302 = 100,302/x
  3. Step 3: Cross multiply
    46,266x = 100,302 × 100,302
  4. Step 4: Simplify right side
    46,266x = 10,060,491,204
  5. Step 5: Solve for x
    x = 10,060,491,204/46,266
  6. Step 6: Final answer
    x = 217,448.91

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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.