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Finding the Third Proportional to 174,747,992 and 271,329,561

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Solution

The third proportional to 174,747,992 and 271,329,561 is: 421,290,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,747,992 : 271,329,561 = 271,329,561 : x
  2. Step 2: Convert to fraction form
    174,747,992/271,329,561 = 271,329,561/x
  3. Step 3: Cross multiply
    174,747,992x = 271,329,561 × 271,329,561
  4. Step 4: Simplify right side
    174,747,992x = 73,619,730,672,452,720
  5. Step 5: Solve for x
    x = 73,619,730,672,452,720/174,747,992
  6. Step 6: Final answer
    x = 421,290,853.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.