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Finding the Third Proportional to 145,143,383,589 and 201,810,273,364

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Solution

The third proportional to 145,143,383,589 and 201,810,273,364 is: 280,601,054,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,383,589 : 201,810,273,364 = 201,810,273,364 : x
  2. Step 2: Convert to fraction form
    145,143,383,589/201,810,273,364 = 201,810,273,364/x
  3. Step 3: Cross multiply
    145,143,383,589x = 201,810,273,364 × 201,810,273,364
  4. Step 4: Simplify right side
    145,143,383,589x = 40,727,386,435,252,408,811,520
  5. Step 5: Solve for x
    x = 40,727,386,435,252,408,811,520/145,143,383,589
  6. Step 6: Final answer
    x = 280,601,054,131.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.