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Finding the Third Proportional to 104,593.89 and 214,700.84

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Solution

The third proportional to 104,593.89 and 214,700.84 is: 440,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,593.89 : 214,700.84 = 214,700.84 : x
  2. Step 2: Convert to fraction form
    104,593.89/214,700.84 = 214,700.84/x
  3. Step 3: Cross multiply
    104,593.89x = 214,700.84 × 214,700.84
  4. Step 4: Simplify right side
    104,593.89x = 46,096,448,952.26
  5. Step 5: Solve for x
    x = 46,096,448,952.26/104,593.89
  6. Step 6: Final answer
    x = 440,718.39

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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.