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Finding the Third Proportional to 91,740 and 202,103

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Solution

The third proportional to 91,740 and 202,103 is: 445,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,740 : 202,103 = 202,103 : x
  2. Step 2: Convert to fraction form
    91,740/202,103 = 202,103/x
  3. Step 3: Cross multiply
    91,740x = 202,103 × 202,103
  4. Step 4: Simplify right side
    91,740x = 40,845,622,609
  5. Step 5: Solve for x
    x = 40,845,622,609/91,740
  6. Step 6: Final answer
    x = 445,232.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.