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Finding the Third Proportional to 45,870.05 and 106,399.83

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Solution

The third proportional to 45,870.05 and 106,399.83 is: 246,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,870.05 : 106,399.83 = 106,399.83 : x
  2. Step 2: Convert to fraction form
    45,870.05/106,399.83 = 106,399.83/x
  3. Step 3: Cross multiply
    45,870.05x = 106,399.83 × 106,399.83
  4. Step 4: Simplify right side
    45,870.05x = 11,320,923,425.03
  5. Step 5: Solve for x
    x = 11,320,923,425.03/45,870.05
  6. Step 6: Final answer
    x = 246,804.27

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.