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Finding the Third Proportional to 95,184 and 201,096

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Solution

The third proportional to 95,184 and 201,096 is: 424,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,184 : 201,096 = 201,096 : x
  2. Step 2: Convert to fraction form
    95,184/201,096 = 201,096/x
  3. Step 3: Cross multiply
    95,184x = 201,096 × 201,096
  4. Step 4: Simplify right side
    95,184x = 40,439,601,216
  5. Step 5: Solve for x
    x = 40,439,601,216/95,184
  6. Step 6: Final answer
    x = 424,857.13

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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.