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Finding the Third Proportional to 101,763.84 and 223,825.78

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Solution

The third proportional to 101,763.84 and 223,825.78 is: 492,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,763.84 : 223,825.78 = 223,825.78 : x
  2. Step 2: Convert to fraction form
    101,763.84/223,825.78 = 223,825.78/x
  3. Step 3: Cross multiply
    101,763.84x = 223,825.78 × 223,825.78
  4. Step 4: Simplify right side
    101,763.84x = 50,097,980,352.17
  5. Step 5: Solve for x
    x = 50,097,980,352.17/101,763.84
  6. Step 6: Final answer
    x = 492,296.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.