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Finding the Third Proportional to 48,902.63 and 118,052.44

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Solution

The third proportional to 48,902.63 and 118,052.44 is: 284,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.63 : 118,052.44 = 118,052.44 : x
  2. Step 2: Convert to fraction form
    48,902.63/118,052.44 = 118,052.44/x
  3. Step 3: Cross multiply
    48,902.63x = 118,052.44 × 118,052.44
  4. Step 4: Simplify right side
    48,902.63x = 13,936,377,999.69
  5. Step 5: Solve for x
    x = 13,936,377,999.69/48,902.63
  6. Step 6: Final answer
    x = 284,982.21

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.