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Finding the Third Proportional to 92,514 and 196,854

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Solution

The third proportional to 92,514 and 196,854 is: 418,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,514 : 196,854 = 196,854 : x
  2. Step 2: Convert to fraction form
    92,514/196,854 = 196,854/x
  3. Step 3: Cross multiply
    92,514x = 196,854 × 196,854
  4. Step 4: Simplify right side
    92,514x = 38,751,497,316
  5. Step 5: Solve for x
    x = 38,751,497,316/92,514
  6. Step 6: Final answer
    x = 418,871.71

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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.