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Finding the Third Proportional to 156,276,648 and 339,456,312

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Solution

The third proportional to 156,276,648 and 339,456,312 is: 737,350,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,276,648 : 339,456,312 = 339,456,312 : x
  2. Step 2: Convert to fraction form
    156,276,648/339,456,312 = 339,456,312/x
  3. Step 3: Cross multiply
    156,276,648x = 339,456,312 × 339,456,312
  4. Step 4: Simplify right side
    156,276,648x = 115,230,587,756,641,344
  5. Step 5: Solve for x
    x = 115,230,587,756,641,344/156,276,648
  6. Step 6: Final answer
    x = 737,350,008.66

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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.