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Finding the Third Proportional to 95,869 and 201,654

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Solution

The third proportional to 95,869 and 201,654 is: 424,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,869 : 201,654 = 201,654 : x
  2. Step 2: Convert to fraction form
    95,869/201,654 = 201,654/x
  3. Step 3: Cross multiply
    95,869x = 201,654 × 201,654
  4. Step 4: Simplify right side
    95,869x = 40,664,335,716
  5. Step 5: Solve for x
    x = 40,664,335,716/95,869
  6. Step 6: Final answer
    x = 424,165.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.