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Finding the Third Proportional to 141,057,378 and 217,874,749

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Solution

The third proportional to 141,057,378 and 217,874,749 is: 336,525,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,057,378 : 217,874,749 = 217,874,749 : x
  2. Step 2: Convert to fraction form
    141,057,378/217,874,749 = 217,874,749/x
  3. Step 3: Cross multiply
    141,057,378x = 217,874,749 × 217,874,749
  4. Step 4: Simplify right side
    141,057,378x = 47,469,406,251,813,000
  5. Step 5: Solve for x
    x = 47,469,406,251,813,000/141,057,378
  6. Step 6: Final answer
    x = 336,525,511.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.