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Finding the Third Proportional to 97,805.25 and 206,124.75

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Solution

The third proportional to 97,805.25 and 206,124.75 is: 434,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,805.25 : 206,124.75 = 206,124.75 : x
  2. Step 2: Convert to fraction form
    97,805.25/206,124.75 = 206,124.75/x
  3. Step 3: Cross multiply
    97,805.25x = 206,124.75 × 206,124.75
  4. Step 4: Simplify right side
    97,805.25x = 42,487,412,562.56
  5. Step 5: Solve for x
    x = 42,487,412,562.56/97,805.25
  6. Step 6: Final answer
    x = 434,408.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.