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Finding the Third Proportional to 167,856,643 and 361,222,454

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Solution

The third proportional to 167,856,643 and 361,222,454 is: 777,339,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,856,643 : 361,222,454 = 361,222,454 : x
  2. Step 2: Convert to fraction form
    167,856,643/361,222,454 = 361,222,454/x
  3. Step 3: Cross multiply
    167,856,643x = 361,222,454 × 361,222,454
  4. Step 4: Simplify right side
    167,856,643x = 130,481,661,273,782,112
  5. Step 5: Solve for x
    x = 130,481,661,273,782,112/167,856,643
  6. Step 6: Final answer
    x = 777,339,871.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.