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Finding the Third Proportional to 152,000,324 and 318,930,568

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Solution

The third proportional to 152,000,324 and 318,930,568 is: 669,187,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,000,324 : 318,930,568 = 318,930,568 : x
  2. Step 2: Convert to fraction form
    152,000,324/318,930,568 = 318,930,568/x
  3. Step 3: Cross multiply
    152,000,324x = 318,930,568 × 318,930,568
  4. Step 4: Simplify right side
    152,000,324x = 101,716,707,204,802,624
  5. Step 5: Solve for x
    x = 101,716,707,204,802,624/152,000,324
  6. Step 6: Final answer
    x = 669,187,436.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.