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Finding the Third Proportional to 88,211 and 191,245

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Solution

The third proportional to 88,211 and 191,245 is: 414,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,211 : 191,245 = 191,245 : x
  2. Step 2: Convert to fraction form
    88,211/191,245 = 191,245/x
  3. Step 3: Cross multiply
    88,211x = 191,245 × 191,245
  4. Step 4: Simplify right side
    88,211x = 36,574,650,025
  5. Step 5: Solve for x
    x = 36,574,650,025/88,211
  6. Step 6: Final answer
    x = 414,626.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.