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Finding the Third Proportional to 104,575.75 and 214,713.25

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Solution

The third proportional to 104,575.75 and 214,713.25 is: 440,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,575.75 : 214,713.25 = 214,713.25 : x
  2. Step 2: Convert to fraction form
    104,575.75/214,713.25 = 214,713.25/x
  3. Step 3: Cross multiply
    104,575.75x = 214,713.25 × 214,713.25
  4. Step 4: Simplify right side
    104,575.75x = 46,101,779,725.56
  5. Step 5: Solve for x
    x = 46,101,779,725.56/104,575.75
  6. Step 6: Final answer
    x = 440,845.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.