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Finding the Third Proportional to 47,110.08 and 102,523.22

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Solution

The third proportional to 47,110.08 and 102,523.22 is: 223,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110.08 : 102,523.22 = 102,523.22 : x
  2. Step 2: Convert to fraction form
    47,110.08/102,523.22 = 102,523.22/x
  3. Step 3: Cross multiply
    47,110.08x = 102,523.22 × 102,523.22
  4. Step 4: Simplify right side
    47,110.08x = 10,511,010,382.86
  5. Step 5: Solve for x
    x = 10,511,010,382.86/47,110.08
  6. Step 6: Final answer
    x = 223,115.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.