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Finding the Third Proportional to 91,098 and 195,808

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Solution

The third proportional to 91,098 and 195,808 is: 420,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098 : 195,808 = 195,808 : x
  2. Step 2: Convert to fraction form
    91,098/195,808 = 195,808/x
  3. Step 3: Cross multiply
    91,098x = 195,808 × 195,808
  4. Step 4: Simplify right side
    91,098x = 38,340,772,864
  5. Step 5: Solve for x
    x = 38,340,772,864/91,098
  6. Step 6: Final answer
    x = 420,873.93

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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.