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Finding the Third Proportional to 106,745.63 and 231,023.25

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Solution

The third proportional to 106,745.63 and 231,023.25 is: 499,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,745.63 : 231,023.25 = 231,023.25 : x
  2. Step 2: Convert to fraction form
    106,745.63/231,023.25 = 231,023.25/x
  3. Step 3: Cross multiply
    106,745.63x = 231,023.25 × 231,023.25
  4. Step 4: Simplify right side
    106,745.63x = 53,371,742,040.56
  5. Step 5: Solve for x
    x = 53,371,742,040.56/106,745.63
  6. Step 6: Final answer
    x = 499,989.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.