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Finding the Third Proportional to 46,096.41 and 71,191.76

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Solution

The third proportional to 46,096.41 and 71,191.76 is: 109,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,096.41 : 71,191.76 = 71,191.76 : x
  2. Step 2: Convert to fraction form
    46,096.41/71,191.76 = 71,191.76/x
  3. Step 3: Cross multiply
    46,096.41x = 71,191.76 × 71,191.76
  4. Step 4: Simplify right side
    46,096.41x = 5,068,266,380.43
  5. Step 5: Solve for x
    x = 5,068,266,380.43/46,096.41
  6. Step 6: Final answer
    x = 109,949.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.