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Finding the Third Proportional to 90,912 and 196,608

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Solution

The third proportional to 90,912 and 196,608 is: 425,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,912 : 196,608 = 196,608 : x
  2. Step 2: Convert to fraction form
    90,912/196,608 = 196,608/x
  3. Step 3: Cross multiply
    90,912x = 196,608 × 196,608
  4. Step 4: Simplify right side
    90,912x = 38,654,705,664
  5. Step 5: Solve for x
    x = 38,654,705,664/90,912
  6. Step 6: Final answer
    x = 425,188.16

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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.