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Finding the Third Proportional to 96,154 and 203,390

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Solution

The third proportional to 96,154 and 203,390 is: 430,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,154 : 203,390 = 203,390 : x
  2. Step 2: Convert to fraction form
    96,154/203,390 = 203,390/x
  3. Step 3: Cross multiply
    96,154x = 203,390 × 203,390
  4. Step 4: Simplify right side
    96,154x = 41,367,492,100
  5. Step 5: Solve for x
    x = 41,367,492,100/96,154
  6. Step 6: Final answer
    x = 430,221.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.