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Finding the Third Proportional to 47,857.71 and 102,003.05

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Solution

The third proportional to 47,857.71 and 102,003.05 is: 217,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857.71 : 102,003.05 = 102,003.05 : x
  2. Step 2: Convert to fraction form
    47,857.71/102,003.05 = 102,003.05/x
  3. Step 3: Cross multiply
    47,857.71x = 102,003.05 × 102,003.05
  4. Step 4: Simplify right side
    47,857.71x = 10,404,621,571.78
  5. Step 5: Solve for x
    x = 10,404,621,571.78/47,857.71
  6. Step 6: Final answer
    x = 217,407.42

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.