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Finding the Third Proportional to 95,742 and 203,588.44

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Solution

The third proportional to 95,742 and 203,588.44 is: 432,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,742 : 203,588.44 = 203,588.44 : x
  2. Step 2: Convert to fraction form
    95,742/203,588.44 = 203,588.44/x
  3. Step 3: Cross multiply
    95,742x = 203,588.44 × 203,588.44
  4. Step 4: Simplify right side
    95,742x = 41,448,251,883.69
  5. Step 5: Solve for x
    x = 41,448,251,883.69/95,742
  6. Step 6: Final answer
    x = 432,916.09

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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.