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Finding the Third Proportional to 233,562,172 and 328,489,568

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Solution

The third proportional to 233,562,172 and 328,489,568 is: 461,998,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,562,172 : 328,489,568 = 328,489,568 : x
  2. Step 2: Convert to fraction form
    233,562,172/328,489,568 = 328,489,568/x
  3. Step 3: Cross multiply
    233,562,172x = 328,489,568 × 328,489,568
  4. Step 4: Simplify right side
    233,562,172x = 107,905,396,284,826,624
  5. Step 5: Solve for x
    x = 107,905,396,284,826,624/233,562,172
  6. Step 6: Final answer
    x = 461,998,599.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.