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Finding the Third Proportional to 46,497 and 100,722

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Solution

The third proportional to 46,497 and 100,722 is: 218,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,497 : 100,722 = 100,722 : x
  2. Step 2: Convert to fraction form
    46,497/100,722 = 100,722/x
  3. Step 3: Cross multiply
    46,497x = 100,722 × 100,722
  4. Step 4: Simplify right side
    46,497x = 10,144,921,284
  5. Step 5: Solve for x
    x = 10,144,921,284/46,497
  6. Step 6: Final answer
    x = 218,184.43

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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.