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Finding the Third Proportional to 92,366.44 and 198,546.19

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Solution

The third proportional to 92,366.44 and 198,546.19 is: 426,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,366.44 : 198,546.19 = 198,546.19 : x
  2. Step 2: Convert to fraction form
    92,366.44/198,546.19 = 198,546.19/x
  3. Step 3: Cross multiply
    92,366.44x = 198,546.19 × 198,546.19
  4. Step 4: Simplify right side
    92,366.44x = 39,420,588,570.79
  5. Step 5: Solve for x
    x = 39,420,588,570.79/92,366.44
  6. Step 6: Final answer
    x = 426,784.77

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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.