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Finding the Third Proportional to 41,203.69 and 90,289.69

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Solution

The third proportional to 41,203.69 and 90,289.69 is: 197,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 90,289.69 = 90,289.69 : x
  2. Step 2: Convert to fraction form
    41,203.69/90,289.69 = 90,289.69/x
  3. Step 3: Cross multiply
    41,203.69x = 90,289.69 × 90,289.69
  4. Step 4: Simplify right side
    41,203.69x = 8,152,227,668.85
  5. Step 5: Solve for x
    x = 8,152,227,668.85/41,203.69
  6. Step 6: Final answer
    x = 197,851.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.