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Finding the Third Proportional to 49,201.88 and 103,361.06

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Solution

The third proportional to 49,201.88 and 103,361.06 is: 217,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.88 : 103,361.06 = 103,361.06 : x
  2. Step 2: Convert to fraction form
    49,201.88/103,361.06 = 103,361.06/x
  3. Step 3: Cross multiply
    49,201.88x = 103,361.06 × 103,361.06
  4. Step 4: Simplify right side
    49,201.88x = 10,683,509,241.13
  5. Step 5: Solve for x
    x = 10,683,509,241.13/49,201.88
  6. Step 6: Final answer
    x = 217,136.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.