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Finding the Third Proportional to 97,912 and 211,372

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Solution

The third proportional to 97,912 and 211,372 is: 456,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,912 : 211,372 = 211,372 : x
  2. Step 2: Convert to fraction form
    97,912/211,372 = 211,372/x
  3. Step 3: Cross multiply
    97,912x = 211,372 × 211,372
  4. Step 4: Simplify right side
    97,912x = 44,678,122,384
  5. Step 5: Solve for x
    x = 44,678,122,384/97,912
  6. Step 6: Final answer
    x = 456,308.95

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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.