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Finding the Third Proportional to 92,644 and 199,976

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Solution

The third proportional to 92,644 and 199,976 is: 431,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,644 : 199,976 = 199,976 : x
  2. Step 2: Convert to fraction form
    92,644/199,976 = 199,976/x
  3. Step 3: Cross multiply
    92,644x = 199,976 × 199,976
  4. Step 4: Simplify right side
    92,644x = 39,990,400,576
  5. Step 5: Solve for x
    x = 39,990,400,576/92,644
  6. Step 6: Final answer
    x = 431,656.67

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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.