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Finding the Third Proportional to 92,034 and 197,179

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Solution

The third proportional to 92,034 and 197,179 is: 422,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,034 : 197,179 = 197,179 : x
  2. Step 2: Convert to fraction form
    92,034/197,179 = 197,179/x
  3. Step 3: Cross multiply
    92,034x = 197,179 × 197,179
  4. Step 4: Simplify right side
    92,034x = 38,879,558,041
  5. Step 5: Solve for x
    x = 38,879,558,041/92,034
  6. Step 6: Final answer
    x = 422,447.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.