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Finding the Third Proportional to 91,868 and 196,857

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Solution

The third proportional to 91,868 and 196,857 is: 421,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,868 : 196,857 = 196,857 : x
  2. Step 2: Convert to fraction form
    91,868/196,857 = 196,857/x
  3. Step 3: Cross multiply
    91,868x = 196,857 × 196,857
  4. Step 4: Simplify right side
    91,868x = 38,752,678,449
  5. Step 5: Solve for x
    x = 38,752,678,449/91,868
  6. Step 6: Final answer
    x = 421,830.00

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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.