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Finding the Third Proportional to 171,101,538 and 369,475,668

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Solution

The third proportional to 171,101,538 and 369,475,668 is: 797,843,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,101,538 : 369,475,668 = 369,475,668 : x
  2. Step 2: Convert to fraction form
    171,101,538/369,475,668 = 369,475,668/x
  3. Step 3: Cross multiply
    171,101,538x = 369,475,668 × 369,475,668
  4. Step 4: Simplify right side
    171,101,538x = 136,512,269,244,046,224
  5. Step 5: Solve for x
    x = 136,512,269,244,046,224/171,101,538
  6. Step 6: Final answer
    x = 797,843,612.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.