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Finding the Third Proportional to 95,860.50 and 201,634

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Solution

The third proportional to 95,860.50 and 201,634 is: 424,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,860.50 : 201,634 = 201,634 : x
  2. Step 2: Convert to fraction form
    95,860.50/201,634 = 201,634/x
  3. Step 3: Cross multiply
    95,860.50x = 201,634 × 201,634
  4. Step 4: Simplify right side
    95,860.50x = 40,656,269,956
  5. Step 5: Solve for x
    x = 40,656,269,956/95,860.50
  6. Step 6: Final answer
    x = 424,119.11

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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.