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Finding the Third Proportional to 41,890.45 and 89,778.06

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Solution

The third proportional to 41,890.45 and 89,778.06 is: 192,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,890.45 : 89,778.06 = 89,778.06 : x
  2. Step 2: Convert to fraction form
    41,890.45/89,778.06 = 89,778.06/x
  3. Step 3: Cross multiply
    41,890.45x = 89,778.06 × 89,778.06
  4. Step 4: Simplify right side
    41,890.45x = 8,060,099,804.86
  5. Step 5: Solve for x
    x = 8,060,099,804.86/41,890.45
  6. Step 6: Final answer
    x = 192,409.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.