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Finding the Third Proportional to 47,571.05 and 103,343.34

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Solution

The third proportional to 47,571.05 and 103,343.34 is: 224,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,571.05 : 103,343.34 = 103,343.34 : x
  2. Step 2: Convert to fraction form
    47,571.05/103,343.34 = 103,343.34/x
  3. Step 3: Cross multiply
    47,571.05x = 103,343.34 × 103,343.34
  4. Step 4: Simplify right side
    47,571.05x = 10,679,846,697.43
  5. Step 5: Solve for x
    x = 10,679,846,697.43/47,571.05
  6. Step 6: Final answer
    x = 224,503.08

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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.