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Finding the Third Proportional to 101,889,576 and 223,795,638

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Solution

The third proportional to 101,889,576 and 223,795,638 is: 491,556,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,889,576 : 223,795,638 = 223,795,638 : x
  2. Step 2: Convert to fraction form
    101,889,576/223,795,638 = 223,795,638/x
  3. Step 3: Cross multiply
    101,889,576x = 223,795,638 × 223,795,638
  4. Step 4: Simplify right side
    101,889,576x = 50,084,487,587,827,040
  5. Step 5: Solve for x
    x = 50,084,487,587,827,040/101,889,576
  6. Step 6: Final answer
    x = 491,556,541.44

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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.