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Finding the Third Proportional to 95,499 and 202,381

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Solution

The third proportional to 95,499 and 202,381 is: 428,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,499 : 202,381 = 202,381 : x
  2. Step 2: Convert to fraction form
    95,499/202,381 = 202,381/x
  3. Step 3: Cross multiply
    95,499x = 202,381 × 202,381
  4. Step 4: Simplify right side
    95,499x = 40,958,069,161
  5. Step 5: Solve for x
    x = 40,958,069,161/95,499
  6. Step 6: Final answer
    x = 428,884.80

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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.