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Finding the Third Proportional to 46,812.50 and 100,186

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Solution

The third proportional to 46,812.50 and 100,186 is: 214,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812.50 : 100,186 = 100,186 : x
  2. Step 2: Convert to fraction form
    46,812.50/100,186 = 100,186/x
  3. Step 3: Cross multiply
    46,812.50x = 100,186 × 100,186
  4. Step 4: Simplify right side
    46,812.50x = 10,037,234,596
  5. Step 5: Solve for x
    x = 10,037,234,596/46,812.50
  6. Step 6: Final answer
    x = 214,413.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.