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Finding the Third Proportional to 47,208.23 and 102,716.86

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Solution

The third proportional to 47,208.23 and 102,716.86 is: 223,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208.23 : 102,716.86 = 102,716.86 : x
  2. Step 2: Convert to fraction form
    47,208.23/102,716.86 = 102,716.86/x
  3. Step 3: Cross multiply
    47,208.23x = 102,716.86 × 102,716.86
  4. Step 4: Simplify right side
    47,208.23x = 10,550,753,199.86
  5. Step 5: Solve for x
    x = 10,550,753,199.86/47,208.23
  6. Step 6: Final answer
    x = 223,493.92

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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.