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Finding the Third Proportional to 101,830.50 and 220,610.25

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Solution

The third proportional to 101,830.50 and 220,610.25 is: 477,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,830.50 : 220,610.25 = 220,610.25 : x
  2. Step 2: Convert to fraction form
    101,830.50/220,610.25 = 220,610.25/x
  3. Step 3: Cross multiply
    101,830.50x = 220,610.25 × 220,610.25
  4. Step 4: Simplify right side
    101,830.50x = 48,668,882,405.06
  5. Step 5: Solve for x
    x = 48,668,882,405.06/101,830.50
  6. Step 6: Final answer
    x = 477,940.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.