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Finding the Third Proportional to 47,832.08 and 105,168.22

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Solution

The third proportional to 47,832.08 and 105,168.22 is: 231,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832.08 : 105,168.22 = 105,168.22 : x
  2. Step 2: Convert to fraction form
    47,832.08/105,168.22 = 105,168.22/x
  3. Step 3: Cross multiply
    47,832.08x = 105,168.22 × 105,168.22
  4. Step 4: Simplify right side
    47,832.08x = 11,060,353,824.24
  5. Step 5: Solve for x
    x = 11,060,353,824.24/47,832.08
  6. Step 6: Final answer
    x = 231,232.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.