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Finding the Third Proportional to 103,923 and 223,871

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Solution

The third proportional to 103,923 and 223,871 is: 482,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,923 : 223,871 = 223,871 : x
  2. Step 2: Convert to fraction form
    103,923/223,871 = 223,871/x
  3. Step 3: Cross multiply
    103,923x = 223,871 × 223,871
  4. Step 4: Simplify right side
    103,923x = 50,118,224,641
  5. Step 5: Solve for x
    x = 50,118,224,641/103,923
  6. Step 6: Final answer
    x = 482,263.07

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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.