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Finding the Third Proportional to 47,847.63 and 103,007.25

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Solution

The third proportional to 47,847.63 and 103,007.25 is: 221,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847.63 : 103,007.25 = 103,007.25 : x
  2. Step 2: Convert to fraction form
    47,847.63/103,007.25 = 103,007.25/x
  3. Step 3: Cross multiply
    47,847.63x = 103,007.25 × 103,007.25
  4. Step 4: Simplify right side
    47,847.63x = 10,610,493,552.56
  5. Step 5: Solve for x
    x = 10,610,493,552.56/47,847.63
  6. Step 6: Final answer
    x = 221,755.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.