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Finding the Third Proportional to 103,667.25 and 217,776.75

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Solution

The third proportional to 103,667.25 and 217,776.75 is: 457,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,667.25 : 217,776.75 = 217,776.75 : x
  2. Step 2: Convert to fraction form
    103,667.25/217,776.75 = 217,776.75/x
  3. Step 3: Cross multiply
    103,667.25x = 217,776.75 × 217,776.75
  4. Step 4: Simplify right side
    103,667.25x = 47,426,712,840.56
  5. Step 5: Solve for x
    x = 47,426,712,840.56/103,667.25
  6. Step 6: Final answer
    x = 457,489.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.