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Finding the Third Proportional to 104,090.63 and 223,968.94

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Solution

The third proportional to 104,090.63 and 223,968.94 is: 481,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,090.63 : 223,968.94 = 223,968.94 : x
  2. Step 2: Convert to fraction form
    104,090.63/223,968.94 = 223,968.94/x
  3. Step 3: Cross multiply
    104,090.63x = 223,968.94 × 223,968.94
  4. Step 4: Simplify right side
    104,090.63x = 50,162,084,964.88
  5. Step 5: Solve for x
    x = 50,162,084,964.88/104,090.63
  6. Step 6: Final answer
    x = 481,907.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.