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Finding the Third Proportional to 95,058.56 and 202,221.56

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Solution

The third proportional to 95,058.56 and 202,221.56 is: 430,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,058.56 : 202,221.56 = 202,221.56 : x
  2. Step 2: Convert to fraction form
    95,058.56/202,221.56 = 202,221.56/x
  3. Step 3: Cross multiply
    95,058.56x = 202,221.56 × 202,221.56
  4. Step 4: Simplify right side
    95,058.56x = 40,893,560,339.94
  5. Step 5: Solve for x
    x = 40,893,560,339.94/95,058.56
  6. Step 6: Final answer
    x = 430,193.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.