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Finding the Third Proportional to 92,052 and 197,216

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Solution

The third proportional to 92,052 and 197,216 is: 422,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052 : 197,216 = 197,216 : x
  2. Step 2: Convert to fraction form
    92,052/197,216 = 197,216/x
  3. Step 3: Cross multiply
    92,052x = 197,216 × 197,216
  4. Step 4: Simplify right side
    92,052x = 38,894,150,656
  5. Step 5: Solve for x
    x = 38,894,150,656/92,052
  6. Step 6: Final answer
    x = 422,523.69

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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.