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Finding the Third Proportional to 104,304.13 and 214,137.50

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Solution

The third proportional to 104,304.13 and 214,137.50 is: 439,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,304.13 : 214,137.50 = 214,137.50 : x
  2. Step 2: Convert to fraction form
    104,304.13/214,137.50 = 214,137.50/x
  3. Step 3: Cross multiply
    104,304.13x = 214,137.50 × 214,137.50
  4. Step 4: Simplify right side
    104,304.13x = 45,854,868,906.25
  5. Step 5: Solve for x
    x = 45,854,868,906.25/104,304.13
  6. Step 6: Final answer
    x = 439,626.61

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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.