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Finding the Third Proportional to 199,672,915,715 and 404,901,963,544.75

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Solution

The third proportional to 199,672,915,715 and 404,901,963,544.75 is: 821,070,797,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672,915,715 : 404,901,963,544.75 = 404,901,963,544.75 : x
  2. Step 2: Convert to fraction form
    199,672,915,715/404,901,963,544.75 = 404,901,963,544.75/x
  3. Step 3: Cross multiply
    199,672,915,715x = 404,901,963,544.75 × 404,901,963,544.75
  4. Step 4: Simplify right side
    199,672,915,715x = 163,945,600,082,394,061,209,600
  5. Step 5: Solve for x
    x = 163,945,600,082,394,061,209,600/199,672,915,715
  6. Step 6: Final answer
    x = 821,070,797,185.13

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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.