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Finding the Third Proportional to 46,206 and 100,950

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Solution

The third proportional to 46,206 and 100,950 is: 220,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 100,950 = 100,950 : x
  2. Step 2: Convert to fraction form
    46,206/100,950 = 100,950/x
  3. Step 3: Cross multiply
    46,206x = 100,950 × 100,950
  4. Step 4: Simplify right side
    46,206x = 10,190,902,500
  5. Step 5: Solve for x
    x = 10,190,902,500/46,206
  6. Step 6: Final answer
    x = 220,553.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.