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Finding the Third Proportional to 54,464.63 and 113,917.50

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Solution

The third proportional to 54,464.63 and 113,917.50 is: 238,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,464.63 : 113,917.50 = 113,917.50 : x
  2. Step 2: Convert to fraction form
    54,464.63/113,917.50 = 113,917.50/x
  3. Step 3: Cross multiply
    54,464.63x = 113,917.50 × 113,917.50
  4. Step 4: Simplify right side
    54,464.63x = 12,977,196,806.25
  5. Step 5: Solve for x
    x = 12,977,196,806.25/54,464.63
  6. Step 6: Final answer
    x = 238,268.36

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.