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Finding the Third Proportional to 47,730.94 and 103,749.19

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Solution

The third proportional to 47,730.94 and 103,749.19 is: 225,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730.94 : 103,749.19 = 103,749.19 : x
  2. Step 2: Convert to fraction form
    47,730.94/103,749.19 = 103,749.19/x
  3. Step 3: Cross multiply
    47,730.94x = 103,749.19 × 103,749.19
  4. Step 4: Simplify right side
    47,730.94x = 10,763,893,906.91
  5. Step 5: Solve for x
    x = 10,763,893,906.91/47,730.94
  6. Step 6: Final answer
    x = 225,511.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.