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Finding the Third Proportional to 145,143,383,646 and 201,810,273,355

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Solution

The third proportional to 145,143,383,646 and 201,810,273,355 is: 280,601,053,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,383,646 : 201,810,273,355 = 201,810,273,355 : x
  2. Step 2: Convert to fraction form
    145,143,383,646/201,810,273,355 = 201,810,273,355/x
  3. Step 3: Cross multiply
    145,143,383,646x = 201,810,273,355 × 201,810,273,355
  4. Step 4: Simplify right side
    145,143,383,646x = 40,727,386,431,619,822,780,416
  5. Step 5: Solve for x
    x = 40,727,386,431,619,822,780,416/145,143,383,646
  6. Step 6: Final answer
    x = 280,601,053,996.04

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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.