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Finding the Third Proportional to 106,048.69 and 227,277.38

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Solution

The third proportional to 106,048.69 and 227,277.38 is: 487,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048.69 : 227,277.38 = 227,277.38 : x
  2. Step 2: Convert to fraction form
    106,048.69/227,277.38 = 227,277.38/x
  3. Step 3: Cross multiply
    106,048.69x = 227,277.38 × 227,277.38
  4. Step 4: Simplify right side
    106,048.69x = 51,655,005,186.89
  5. Step 5: Solve for x
    x = 51,655,005,186.89/106,048.69
  6. Step 6: Final answer
    x = 487,087.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.