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Finding the Third Proportional to 92,184.75 and 198,382.50

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Solution

The third proportional to 92,184.75 and 198,382.50 is: 426,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184.75 : 198,382.50 = 198,382.50 : x
  2. Step 2: Convert to fraction form
    92,184.75/198,382.50 = 198,382.50/x
  3. Step 3: Cross multiply
    92,184.75x = 198,382.50 × 198,382.50
  4. Step 4: Simplify right side
    92,184.75x = 39,355,616,306.25
  5. Step 5: Solve for x
    x = 39,355,616,306.25/92,184.75
  6. Step 6: Final answer
    x = 426,921.12

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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.