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Finding the Third Proportional to 95,328 and 203,316

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Solution

The third proportional to 95,328 and 203,316 is: 433,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,328 : 203,316 = 203,316 : x
  2. Step 2: Convert to fraction form
    95,328/203,316 = 203,316/x
  3. Step 3: Cross multiply
    95,328x = 203,316 × 203,316
  4. Step 4: Simplify right side
    95,328x = 41,337,395,856
  5. Step 5: Solve for x
    x = 41,337,395,856/95,328
  6. Step 6: Final answer
    x = 433,633.31

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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.