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Finding the Third Proportional to 41,706.19 and 91,714.88

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Solution

The third proportional to 41,706.19 and 91,714.88 is: 201,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.19 : 91,714.88 = 91,714.88 : x
  2. Step 2: Convert to fraction form
    41,706.19/91,714.88 = 91,714.88/x
  3. Step 3: Cross multiply
    41,706.19x = 91,714.88 × 91,714.88
  4. Step 4: Simplify right side
    41,706.19x = 8,411,618,296.27
  5. Step 5: Solve for x
    x = 8,411,618,296.27/41,706.19
  6. Step 6: Final answer
    x = 201,687.54

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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.