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Finding the Third Proportional to 106,418.81 and 227,296.13

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Solution

The third proportional to 106,418.81 and 227,296.13 is: 485,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.81 : 227,296.13 = 227,296.13 : x
  2. Step 2: Convert to fraction form
    106,418.81/227,296.13 = 227,296.13/x
  3. Step 3: Cross multiply
    106,418.81x = 227,296.13 × 227,296.13
  4. Step 4: Simplify right side
    106,418.81x = 51,663,528,440.02
  5. Step 5: Solve for x
    x = 51,663,528,440.02/106,418.81
  6. Step 6: Final answer
    x = 485,473.64

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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.