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Finding the Third Proportional to 101,900.75 and 223,464.25

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Solution

The third proportional to 101,900.75 and 223,464.25 is: 490,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,900.75 : 223,464.25 = 223,464.25 : x
  2. Step 2: Convert to fraction form
    101,900.75/223,464.25 = 223,464.25/x
  3. Step 3: Cross multiply
    101,900.75x = 223,464.25 × 223,464.25
  4. Step 4: Simplify right side
    101,900.75x = 49,936,271,028.06
  5. Step 5: Solve for x
    x = 49,936,271,028.06/101,900.75
  6. Step 6: Final answer
    x = 490,048.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.