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Finding the Third Proportional to 92,768 and 198,656

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Solution

The third proportional to 92,768 and 198,656 is: 425,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,768 : 198,656 = 198,656 : x
  2. Step 2: Convert to fraction form
    92,768/198,656 = 198,656/x
  3. Step 3: Cross multiply
    92,768x = 198,656 × 198,656
  4. Step 4: Simplify right side
    92,768x = 39,464,206,336
  5. Step 5: Solve for x
    x = 39,464,206,336/92,768
  6. Step 6: Final answer
    x = 425,407.54

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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.