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Finding the Third Proportional to 92,826 and 197,316

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Solution

The third proportional to 92,826 and 197,316 is: 419,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,826 : 197,316 = 197,316 : x
  2. Step 2: Convert to fraction form
    92,826/197,316 = 197,316/x
  3. Step 3: Cross multiply
    92,826x = 197,316 × 197,316
  4. Step 4: Simplify right side
    92,826x = 38,933,603,856
  5. Step 5: Solve for x
    x = 38,933,603,856/92,826
  6. Step 6: Final answer
    x = 419,425.63

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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.