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Finding the Third Proportional to 92,364.19 and 198,541.41

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Solution

The third proportional to 92,364.19 and 198,541.41 is: 426,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364.19 : 198,541.41 = 198,541.41 : x
  2. Step 2: Convert to fraction form
    92,364.19/198,541.41 = 198,541.41/x
  3. Step 3: Cross multiply
    92,364.19x = 198,541.41 × 198,541.41
  4. Step 4: Simplify right side
    92,364.19x = 39,418,689,995.73
  5. Step 5: Solve for x
    x = 39,418,689,995.73/92,364.19
  6. Step 6: Final answer
    x = 426,774.61

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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.