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Finding the Third Proportional to 47,439.42 and 101,913.19

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Solution

The third proportional to 47,439.42 and 101,913.19 is: 218,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,439.42 : 101,913.19 = 101,913.19 : x
  2. Step 2: Convert to fraction form
    47,439.42/101,913.19 = 101,913.19/x
  3. Step 3: Cross multiply
    47,439.42x = 101,913.19 × 101,913.19
  4. Step 4: Simplify right side
    47,439.42x = 10,386,297,786.41
  5. Step 5: Solve for x
    x = 10,386,297,786.41/47,439.42
  6. Step 6: Final answer
    x = 218,938.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.