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Finding the Third Proportional to 90,646 and 195,848

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Solution

The third proportional to 90,646 and 195,848 is: 423,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,646 : 195,848 = 195,848 : x
  2. Step 2: Convert to fraction form
    90,646/195,848 = 195,848/x
  3. Step 3: Cross multiply
    90,646x = 195,848 × 195,848
  4. Step 4: Simplify right side
    90,646x = 38,356,439,104
  5. Step 5: Solve for x
    x = 38,356,439,104/90,646
  6. Step 6: Final answer
    x = 423,145.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.