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Finding the Third Proportional to 46,611 and 100,599

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Solution

The third proportional to 46,611 and 100,599 is: 217,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,611 : 100,599 = 100,599 : x
  2. Step 2: Convert to fraction form
    46,611/100,599 = 100,599/x
  3. Step 3: Cross multiply
    46,611x = 100,599 × 100,599
  4. Step 4: Simplify right side
    46,611x = 10,120,158,801
  5. Step 5: Solve for x
    x = 10,120,158,801/46,611
  6. Step 6: Final answer
    x = 217,119.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.