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Finding the Third Proportional to 144,350,576 and 340,641,524

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Solution

The third proportional to 144,350,576 and 340,641,524 is: 803,853,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,350,576 : 340,641,524 = 340,641,524 : x
  2. Step 2: Convert to fraction form
    144,350,576/340,641,524 = 340,641,524/x
  3. Step 3: Cross multiply
    144,350,576x = 340,641,524 × 340,641,524
  4. Step 4: Simplify right side
    144,350,576x = 116,036,647,873,042,576
  5. Step 5: Solve for x
    x = 116,036,647,873,042,576/144,350,576
  6. Step 6: Final answer
    x = 803,853,029.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.