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Finding the Third Proportional to 91,761 and 202,147.75

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Solution

The third proportional to 91,761 and 202,147.75 is: 445,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,761 : 202,147.75 = 202,147.75 : x
  2. Step 2: Convert to fraction form
    91,761/202,147.75 = 202,147.75/x
  3. Step 3: Cross multiply
    91,761x = 202,147.75 × 202,147.75
  4. Step 4: Simplify right side
    91,761x = 40,863,712,830.06
  5. Step 5: Solve for x
    x = 40,863,712,830.06/91,761
  6. Step 6: Final answer
    x = 445,327.68

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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.