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Finding the Third Proportional to 47,339.44 and 102,058.31

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Solution

The third proportional to 47,339.44 and 102,058.31 is: 220,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,339.44 : 102,058.31 = 102,058.31 : x
  2. Step 2: Convert to fraction form
    47,339.44/102,058.31 = 102,058.31/x
  3. Step 3: Cross multiply
    47,339.44x = 102,058.31 × 102,058.31
  4. Step 4: Simplify right side
    47,339.44x = 10,415,899,150.35
  5. Step 5: Solve for x
    x = 10,415,899,150.35/47,339.44
  6. Step 6: Final answer
    x = 220,025.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.