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Finding the Third Proportional to 90,968 and 196,732

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Solution

The third proportional to 90,968 and 196,732 is: 425,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,968 : 196,732 = 196,732 : x
  2. Step 2: Convert to fraction form
    90,968/196,732 = 196,732/x
  3. Step 3: Cross multiply
    90,968x = 196,732 × 196,732
  4. Step 4: Simplify right side
    90,968x = 38,703,479,824
  5. Step 5: Solve for x
    x = 38,703,479,824/90,968
  6. Step 6: Final answer
    x = 425,462.58

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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.