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Finding the Third Proportional to 47,007.21 and 100,575.42

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Solution

The third proportional to 47,007.21 and 100,575.42 is: 215,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007.21 : 100,575.42 = 100,575.42 : x
  2. Step 2: Convert to fraction form
    47,007.21/100,575.42 = 100,575.42/x
  3. Step 3: Cross multiply
    47,007.21x = 100,575.42 × 100,575.42
  4. Step 4: Simplify right side
    47,007.21x = 10,115,415,485.33
  5. Step 5: Solve for x
    x = 10,115,415,485.33/47,007.21
  6. Step 6: Final answer
    x = 215,188.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.