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Finding the Third Proportional to 92,438 and 197,164

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Solution

The third proportional to 92,438 and 197,164 is: 420,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,438 : 197,164 = 197,164 : x
  2. Step 2: Convert to fraction form
    92,438/197,164 = 197,164/x
  3. Step 3: Cross multiply
    92,438x = 197,164 × 197,164
  4. Step 4: Simplify right side
    92,438x = 38,873,642,896
  5. Step 5: Solve for x
    x = 38,873,642,896/92,438
  6. Step 6: Final answer
    x = 420,537.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.