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Finding the Third Proportional to 95,432 and 203,152

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Solution

The third proportional to 95,432 and 203,152 is: 432,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,432 : 203,152 = 203,152 : x
  2. Step 2: Convert to fraction form
    95,432/203,152 = 203,152/x
  3. Step 3: Cross multiply
    95,432x = 203,152 × 203,152
  4. Step 4: Simplify right side
    95,432x = 41,270,735,104
  5. Step 5: Solve for x
    x = 41,270,735,104/95,432
  6. Step 6: Final answer
    x = 432,462.23

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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.