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Finding the Third Proportional to 46,269 and 100,314

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Solution

The third proportional to 46,269 and 100,314 is: 217,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,269 : 100,314 = 100,314 : x
  2. Step 2: Convert to fraction form
    46,269/100,314 = 100,314/x
  3. Step 3: Cross multiply
    46,269x = 100,314 × 100,314
  4. Step 4: Simplify right side
    46,269x = 10,062,898,596
  5. Step 5: Solve for x
    x = 10,062,898,596/46,269
  6. Step 6: Final answer
    x = 217,486.84

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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.