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Finding the Third Proportional to 47,245.69 and 102,794.06

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Solution

The third proportional to 47,245.69 and 102,794.06 is: 223,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,245.69 : 102,794.06 = 102,794.06 : x
  2. Step 2: Convert to fraction form
    47,245.69/102,794.06 = 102,794.06/x
  3. Step 3: Cross multiply
    47,245.69x = 102,794.06 × 102,794.06
  4. Step 4: Simplify right side
    47,245.69x = 10,566,619,285.25
  5. Step 5: Solve for x
    x = 10,566,619,285.25/47,245.69
  6. Step 6: Final answer
    x = 223,652.57

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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.