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Finding the Third Proportional to 199,672,915,717 and 404,901,963,548

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Solution

The third proportional to 199,672,915,717 and 404,901,963,548 is: 821,070,797,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672,915,717 : 404,901,963,548 = 404,901,963,548 : x
  2. Step 2: Convert to fraction form
    199,672,915,717/404,901,963,548 = 404,901,963,548/x
  3. Step 3: Cross multiply
    199,672,915,717x = 404,901,963,548 × 404,901,963,548
  4. Step 4: Simplify right side
    199,672,915,717x = 163,945,600,085,025,936,637,952
  5. Step 5: Solve for x
    x = 163,945,600,085,025,936,637,952/199,672,915,717
  6. Step 6: Final answer
    x = 821,070,797,190.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.