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Finding the Third Proportional to 41,035.83 and 88,201.92

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Solution

The third proportional to 41,035.83 and 88,201.92 is: 189,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,035.83 : 88,201.92 = 88,201.92 : x
  2. Step 2: Convert to fraction form
    41,035.83/88,201.92 = 88,201.92/x
  3. Step 3: Cross multiply
    41,035.83x = 88,201.92 × 88,201.92
  4. Step 4: Simplify right side
    41,035.83x = 7,779,579,022.44
  5. Step 5: Solve for x
    x = 7,779,579,022.44/41,035.83
  6. Step 6: Final answer
    x = 189,580.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.