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Finding the Third Proportional to 90,699 and 196,977

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Solution

The third proportional to 90,699 and 196,977 is: 427,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,699 : 196,977 = 196,977 : x
  2. Step 2: Convert to fraction form
    90,699/196,977 = 196,977/x
  3. Step 3: Cross multiply
    90,699x = 196,977 × 196,977
  4. Step 4: Simplify right side
    90,699x = 38,799,938,529
  5. Step 5: Solve for x
    x = 38,799,938,529/90,699
  6. Step 6: Final answer
    x = 427,787.94

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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.