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Finding the Third Proportional to 46,619 and 100,609

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Solution

The third proportional to 46,619 and 100,609 is: 217,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,619 : 100,609 = 100,609 : x
  2. Step 2: Convert to fraction form
    46,619/100,609 = 100,609/x
  3. Step 3: Cross multiply
    46,619x = 100,609 × 100,609
  4. Step 4: Simplify right side
    46,619x = 10,122,170,881
  5. Step 5: Solve for x
    x = 10,122,170,881/46,619
  6. Step 6: Final answer
    x = 217,125.44

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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.