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Finding the Third Proportional to 89,116.75 and 198,158.44

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Solution

The third proportional to 89,116.75 and 198,158.44 is: 440,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,116.75 : 198,158.44 = 198,158.44 : x
  2. Step 2: Convert to fraction form
    89,116.75/198,158.44 = 198,158.44/x
  3. Step 3: Cross multiply
    89,116.75x = 198,158.44 × 198,158.44
  4. Step 4: Simplify right side
    89,116.75x = 39,266,766,352.44
  5. Step 5: Solve for x
    x = 39,266,766,352.44/89,116.75
  6. Step 6: Final answer
    x = 440,621.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.