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Finding the Third Proportional to 141,700,198 and 231,383,661

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Solution

The third proportional to 141,700,198 and 231,383,661 is: 377,828,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,700,198 : 231,383,661 = 231,383,661 : x
  2. Step 2: Convert to fraction form
    141,700,198/231,383,661 = 231,383,661/x
  3. Step 3: Cross multiply
    141,700,198x = 231,383,661 × 231,383,661
  4. Step 4: Simplify right side
    141,700,198x = 53,538,398,577,762,920
  5. Step 5: Solve for x
    x = 53,538,398,577,762,920/141,700,198
  6. Step 6: Final answer
    x = 377,828,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.