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Finding the Third Proportional to 96,150 and 203,382

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Solution

The third proportional to 96,150 and 203,382 is: 430,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,150 : 203,382 = 203,382 : x
  2. Step 2: Convert to fraction form
    96,150/203,382 = 203,382/x
  3. Step 3: Cross multiply
    96,150x = 203,382 × 203,382
  4. Step 4: Simplify right side
    96,150x = 41,364,237,924
  5. Step 5: Solve for x
    x = 41,364,237,924/96,150
  6. Step 6: Final answer
    x = 430,205.28

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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.