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Finding the Third Proportional to 97,941 and 211,434

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Solution

The third proportional to 97,941 and 211,434 is: 456,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,941 : 211,434 = 211,434 : x
  2. Step 2: Convert to fraction form
    97,941/211,434 = 211,434/x
  3. Step 3: Cross multiply
    97,941x = 211,434 × 211,434
  4. Step 4: Simplify right side
    97,941x = 44,704,336,356
  5. Step 5: Solve for x
    x = 44,704,336,356/97,941
  6. Step 6: Final answer
    x = 456,441.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.