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Finding the Third Proportional to 152,840,514 and 322,932,226

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Solution

The third proportional to 152,840,514 and 322,932,226 is: 682,314,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840,514 : 322,932,226 = 322,932,226 : x
  2. Step 2: Convert to fraction form
    152,840,514/322,932,226 = 322,932,226/x
  3. Step 3: Cross multiply
    152,840,514x = 322,932,226 × 322,932,226
  4. Step 4: Simplify right side
    152,840,514x = 104,285,222,589,315,072
  5. Step 5: Solve for x
    x = 104,285,222,589,315,072/152,840,514
  6. Step 6: Final answer
    x = 682,314,000.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.