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Finding the Third Proportional to 104,433 and 220,771.50

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Solution

The third proportional to 104,433 and 220,771.50 is: 466,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,433 : 220,771.50 = 220,771.50 : x
  2. Step 2: Convert to fraction form
    104,433/220,771.50 = 220,771.50/x
  3. Step 3: Cross multiply
    104,433x = 220,771.50 × 220,771.50
  4. Step 4: Simplify right side
    104,433x = 48,740,055,212.25
  5. Step 5: Solve for x
    x = 48,740,055,212.25/104,433
  6. Step 6: Final answer
    x = 466,711.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.