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Finding the Third Proportional to 171,345,774 and 261,036,165

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Solution

The third proportional to 171,345,774 and 261,036,165 is: 397,674,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,774 : 261,036,165 = 261,036,165 : x
  2. Step 2: Convert to fraction form
    171,345,774/261,036,165 = 261,036,165/x
  3. Step 3: Cross multiply
    171,345,774x = 261,036,165 × 261,036,165
  4. Step 4: Simplify right side
    171,345,774x = 68,139,879,437,907,224
  5. Step 5: Solve for x
    x = 68,139,879,437,907,224/171,345,774
  6. Step 6: Final answer
    x = 397,674,700.97

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Why These Related Problems?

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