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Finding the Third Proportional to 171,008,670 and 380,176,764

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Solution

The third proportional to 171,008,670 and 380,176,764 is: 845,187,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,008,670 : 380,176,764 = 380,176,764 : x
  2. Step 2: Convert to fraction form
    171,008,670/380,176,764 = 380,176,764/x
  3. Step 3: Cross multiply
    171,008,670x = 380,176,764 × 380,176,764
  4. Step 4: Simplify right side
    171,008,670x = 144,534,371,885,511,680
  5. Step 5: Solve for x
    x = 144,534,371,885,511,680/171,008,670
  6. Step 6: Final answer
    x = 845,187,392.46

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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.