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Finding the Third Proportional to 91,766 and 202,157

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Solution

The third proportional to 91,766 and 202,157 is: 445,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,766 : 202,157 = 202,157 : x
  2. Step 2: Convert to fraction form
    91,766/202,157 = 202,157/x
  3. Step 3: Cross multiply
    91,766x = 202,157 × 202,157
  4. Step 4: Simplify right side
    91,766x = 40,867,452,649
  5. Step 5: Solve for x
    x = 40,867,452,649/91,766
  6. Step 6: Final answer
    x = 445,344.17

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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.