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Finding the Third Proportional to 106,803.75 and 227,411.25

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Solution

The third proportional to 106,803.75 and 227,411.25 is: 484,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,803.75 : 227,411.25 = 227,411.25 : x
  2. Step 2: Convert to fraction form
    106,803.75/227,411.25 = 227,411.25/x
  3. Step 3: Cross multiply
    106,803.75x = 227,411.25 × 227,411.25
  4. Step 4: Simplify right side
    106,803.75x = 51,715,876,626.56
  5. Step 5: Solve for x
    x = 51,715,876,626.56/106,803.75
  6. Step 6: Final answer
    x = 484,214.05

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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.