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Finding the Third Proportional to 91,110 and 195,828

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Solution

The third proportional to 91,110 and 195,828 is: 420,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,110 : 195,828 = 195,828 : x
  2. Step 2: Convert to fraction form
    91,110/195,828 = 195,828/x
  3. Step 3: Cross multiply
    91,110x = 195,828 × 195,828
  4. Step 4: Simplify right side
    91,110x = 38,348,605,584
  5. Step 5: Solve for x
    x = 38,348,605,584/91,110
  6. Step 6: Final answer
    x = 420,904.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.