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Finding the Third Proportional to 158,682,474 and 245,204,663

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Solution

The third proportional to 158,682,474 and 245,204,663 is: 378,903,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,682,474 : 245,204,663 = 245,204,663 : x
  2. Step 2: Convert to fraction form
    158,682,474/245,204,663 = 245,204,663/x
  3. Step 3: Cross multiply
    158,682,474x = 245,204,663 × 245,204,663
  4. Step 4: Simplify right side
    158,682,474x = 60,125,326,756,943,568
  5. Step 5: Solve for x
    x = 60,125,326,756,943,568/158,682,474
  6. Step 6: Final answer
    x = 378,903,386.37

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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.