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Finding the Third Proportional to 47,628.28 and 103,464.56

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Solution

The third proportional to 47,628.28 and 103,464.56 is: 224,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,628.28 : 103,464.56 = 103,464.56 : x
  2. Step 2: Convert to fraction form
    47,628.28/103,464.56 = 103,464.56/x
  3. Step 3: Cross multiply
    47,628.28x = 103,464.56 × 103,464.56
  4. Step 4: Simplify right side
    47,628.28x = 10,704,915,693.32
  5. Step 5: Solve for x
    x = 10,704,915,693.32/47,628.28
  6. Step 6: Final answer
    x = 224,759.65

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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.