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Finding the Third Proportional to 91,245 and 195,099

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Solution

The third proportional to 91,245 and 195,099 is: 417,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,245 : 195,099 = 195,099 : x
  2. Step 2: Convert to fraction form
    91,245/195,099 = 195,099/x
  3. Step 3: Cross multiply
    91,245x = 195,099 × 195,099
  4. Step 4: Simplify right side
    91,245x = 38,063,619,801
  5. Step 5: Solve for x
    x = 38,063,619,801/91,245
  6. Step 6: Final answer
    x = 417,158.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.