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Finding the Third Proportional to 41,702.44 and 91,705.78

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Solution

The third proportional to 41,702.44 and 91,705.78 is: 201,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.44 : 91,705.78 = 91,705.78 : x
  2. Step 2: Convert to fraction form
    41,702.44/91,705.78 = 91,705.78/x
  3. Step 3: Cross multiply
    41,702.44x = 91,705.78 × 91,705.78
  4. Step 4: Simplify right side
    41,702.44x = 8,409,950,314.67
  5. Step 5: Solve for x
    x = 8,409,950,314.67/41,702.44
  6. Step 6: Final answer
    x = 201,665.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.