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Finding the Third Proportional to 99,923 and 214,669

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Solution

The third proportional to 99,923 and 214,669 is: 461,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,923 : 214,669 = 214,669 : x
  2. Step 2: Convert to fraction form
    99,923/214,669 = 214,669/x
  3. Step 3: Cross multiply
    99,923x = 214,669 × 214,669
  4. Step 4: Simplify right side
    99,923x = 46,082,779,561
  5. Step 5: Solve for x
    x = 46,082,779,561/99,923
  6. Step 6: Final answer
    x = 461,182.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.