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Finding the Third Proportional to 100,656.75 and 219,294.75

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Solution

The third proportional to 100,656.75 and 219,294.75 is: 477,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656.75 : 219,294.75 = 219,294.75 : x
  2. Step 2: Convert to fraction form
    100,656.75/219,294.75 = 219,294.75/x
  3. Step 3: Cross multiply
    100,656.75x = 219,294.75 × 219,294.75
  4. Step 4: Simplify right side
    100,656.75x = 48,090,187,377.56
  5. Step 5: Solve for x
    x = 48,090,187,377.56/100,656.75
  6. Step 6: Final answer
    x = 477,764.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.