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Finding the Third Proportional to 49,055.63 and 106,449.19

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Solution

The third proportional to 49,055.63 and 106,449.19 is: 230,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055.63 : 106,449.19 = 106,449.19 : x
  2. Step 2: Convert to fraction form
    49,055.63/106,449.19 = 106,449.19/x
  3. Step 3: Cross multiply
    49,055.63x = 106,449.19 × 106,449.19
  4. Step 4: Simplify right side
    49,055.63x = 11,331,429,519.41
  5. Step 5: Solve for x
    x = 11,331,429,519.41/49,055.63
  6. Step 6: Final answer
    x = 230,991.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.