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Finding the Third Proportional to 106,957.69 and 227,035.13

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Solution

The third proportional to 106,957.69 and 227,035.13 is: 481,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.69 : 227,035.13 = 227,035.13 : x
  2. Step 2: Convert to fraction form
    106,957.69/227,035.13 = 227,035.13/x
  3. Step 3: Cross multiply
    106,957.69x = 227,035.13 × 227,035.13
  4. Step 4: Simplify right side
    106,957.69x = 51,544,947,983.77
  5. Step 5: Solve for x
    x = 51,544,947,983.77/106,957.69
  6. Step 6: Final answer
    x = 481,919.06

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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.