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Finding the Third Proportional to 99,542 and 214,921

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Solution

The third proportional to 99,542 and 214,921 is: 464,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542 : 214,921 = 214,921 : x
  2. Step 2: Convert to fraction form
    99,542/214,921 = 214,921/x
  3. Step 3: Cross multiply
    99,542x = 214,921 × 214,921
  4. Step 4: Simplify right side
    99,542x = 46,191,036,241
  5. Step 5: Solve for x
    x = 46,191,036,241/99,542
  6. Step 6: Final answer
    x = 464,035.65

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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.