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Finding the Third Proportional to 99,567 and 214,982

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Solution

The third proportional to 99,567 and 214,982 is: 464,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,567 : 214,982 = 214,982 : x
  2. Step 2: Convert to fraction form
    99,567/214,982 = 214,982/x
  3. Step 3: Cross multiply
    99,567x = 214,982 × 214,982
  4. Step 4: Simplify right side
    99,567x = 46,217,260,324
  5. Step 5: Solve for x
    x = 46,217,260,324/99,567
  6. Step 6: Final answer
    x = 464,182.51

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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.