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Finding the Third Proportional to 41,350.82 and 89,702.12

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Solution

The third proportional to 41,350.82 and 89,702.12 is: 194,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,350.82 : 89,702.12 = 89,702.12 : x
  2. Step 2: Convert to fraction form
    41,350.82/89,702.12 = 89,702.12/x
  3. Step 3: Cross multiply
    41,350.82x = 89,702.12 × 89,702.12
  4. Step 4: Simplify right side
    41,350.82x = 8,046,470,528.72
  5. Step 5: Solve for x
    x = 8,046,470,528.72/41,350.82
  6. Step 6: Final answer
    x = 194,590.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.