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Finding the Third Proportional to 171,345,789 and 261,036,187

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Solution

The third proportional to 171,345,789 and 261,036,187 is: 397,674,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,789 : 261,036,187 = 261,036,187 : x
  2. Step 2: Convert to fraction form
    171,345,789/261,036,187 = 261,036,187/x
  3. Step 3: Cross multiply
    171,345,789x = 261,036,187 × 261,036,187
  4. Step 4: Simplify right side
    171,345,789x = 68,139,890,923,498,968
  5. Step 5: Solve for x
    x = 68,139,890,923,498,968/171,345,789
  6. Step 6: Final answer
    x = 397,674,733.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.