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Finding the Third Proportional to 95,901 and 201,914

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Solution

The third proportional to 95,901 and 201,914 is: 425,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,901 : 201,914 = 201,914 : x
  2. Step 2: Convert to fraction form
    95,901/201,914 = 201,914/x
  3. Step 3: Cross multiply
    95,901x = 201,914 × 201,914
  4. Step 4: Simplify right side
    95,901x = 40,769,263,396
  5. Step 5: Solve for x
    x = 40,769,263,396/95,901
  6. Step 6: Final answer
    x = 425,118.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.