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Finding the Third Proportional to 92,858.50 and 200,494.75

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Solution

The third proportional to 92,858.50 and 200,494.75 is: 432,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,858.50 : 200,494.75 = 200,494.75 : x
  2. Step 2: Convert to fraction form
    92,858.50/200,494.75 = 200,494.75/x
  3. Step 3: Cross multiply
    92,858.50x = 200,494.75 × 200,494.75
  4. Step 4: Simplify right side
    92,858.50x = 40,198,144,777.56
  5. Step 5: Solve for x
    x = 40,198,144,777.56/92,858.50
  6. Step 6: Final answer
    x = 432,896.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.