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Finding the Third Proportional to 52,214.63 and 110,382.75

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Solution

The third proportional to 52,214.63 and 110,382.75 is: 233,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214.63 : 110,382.75 = 110,382.75 : x
  2. Step 2: Convert to fraction form
    52,214.63/110,382.75 = 110,382.75/x
  3. Step 3: Cross multiply
    52,214.63x = 110,382.75 × 110,382.75
  4. Step 4: Simplify right side
    52,214.63x = 12,184,351,497.56
  5. Step 5: Solve for x
    x = 12,184,351,497.56/52,214.63
  6. Step 6: Final answer
    x = 233,351.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.