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Finding the Third Proportional to 96,944 and 211,894

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Solution

The third proportional to 96,944 and 211,894 is: 463,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,944 : 211,894 = 211,894 : x
  2. Step 2: Convert to fraction form
    96,944/211,894 = 211,894/x
  3. Step 3: Cross multiply
    96,944x = 211,894 × 211,894
  4. Step 4: Simplify right side
    96,944x = 44,899,067,236
  5. Step 5: Solve for x
    x = 44,899,067,236/96,944
  6. Step 6: Final answer
    x = 463,144.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.