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Finding the Third Proportional to 92,844 and 199,656

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Solution

The third proportional to 92,844 and 199,656 is: 429,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,844 : 199,656 = 199,656 : x
  2. Step 2: Convert to fraction form
    92,844/199,656 = 199,656/x
  3. Step 3: Cross multiply
    92,844x = 199,656 × 199,656
  4. Step 4: Simplify right side
    92,844x = 39,862,518,336
  5. Step 5: Solve for x
    x = 39,862,518,336/92,844
  6. Step 6: Final answer
    x = 429,349.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.