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Finding the Third Proportional to 41,748.19 and 92,499.19

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Solution

The third proportional to 41,748.19 and 92,499.19 is: 204,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,748.19 : 92,499.19 = 92,499.19 : x
  2. Step 2: Convert to fraction form
    41,748.19/92,499.19 = 92,499.19/x
  3. Step 3: Cross multiply
    41,748.19x = 92,499.19 × 92,499.19
  4. Step 4: Simplify right side
    41,748.19x = 8,556,099,688.16
  5. Step 5: Solve for x
    x = 8,556,099,688.16/41,748.19
  6. Step 6: Final answer
    x = 204,945.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.