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Finding the Third Proportional to 171,008,668 and 380,176,760

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Solution

The third proportional to 171,008,668 and 380,176,760 is: 845,187,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,008,668 : 380,176,760 = 380,176,760 : x
  2. Step 2: Convert to fraction form
    171,008,668/380,176,760 = 380,176,760/x
  3. Step 3: Cross multiply
    171,008,668x = 380,176,760 × 380,176,760
  4. Step 4: Simplify right side
    171,008,668x = 144,534,368,844,097,600
  5. Step 5: Solve for x
    x = 144,534,368,844,097,600/171,008,668
  6. Step 6: Final answer
    x = 845,187,384.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.