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Finding the Third Proportional to 106,803.75 and 227,413.50

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Solution

The third proportional to 106,803.75 and 227,413.50 is: 484,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,803.75 : 227,413.50 = 227,413.50 : x
  2. Step 2: Convert to fraction form
    106,803.75/227,413.50 = 227,413.50/x
  3. Step 3: Cross multiply
    106,803.75x = 227,413.50 × 227,413.50
  4. Step 4: Simplify right side
    106,803.75x = 51,716,899,982.25
  5. Step 5: Solve for x
    x = 51,716,899,982.25/106,803.75
  6. Step 6: Final answer
    x = 484,223.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.