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Finding the Third Proportional to 107,473.50 and 227,747.81

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Solution

The third proportional to 107,473.50 and 227,747.81 is: 482,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,473.50 : 227,747.81 = 227,747.81 : x
  2. Step 2: Convert to fraction form
    107,473.50/227,747.81 = 227,747.81/x
  3. Step 3: Cross multiply
    107,473.50x = 227,747.81 × 227,747.81
  4. Step 4: Simplify right side
    107,473.50x = 51,869,066,098.54
  5. Step 5: Solve for x
    x = 51,869,066,098.54/107,473.50
  6. Step 6: Final answer
    x = 482,621.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.