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Finding the Third Proportional to 45,698 and 100,306

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Solution

The third proportional to 45,698 and 100,306 is: 220,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698 : 100,306 = 100,306 : x
  2. Step 2: Convert to fraction form
    45,698/100,306 = 100,306/x
  3. Step 3: Cross multiply
    45,698x = 100,306 × 100,306
  4. Step 4: Simplify right side
    45,698x = 10,061,293,636
  5. Step 5: Solve for x
    x = 10,061,293,636/45,698
  6. Step 6: Final answer
    x = 220,169.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.