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Finding the Third Proportional to 199,672,915,715.50 and 404,901,963,546

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Solution

The third proportional to 199,672,915,715.50 and 404,901,963,546 is: 821,070,797,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672,915,715.50 : 404,901,963,546 = 404,901,963,546 : x
  2. Step 2: Convert to fraction form
    199,672,915,715.50/404,901,963,546 = 404,901,963,546/x
  3. Step 3: Cross multiply
    199,672,915,715.50x = 404,901,963,546 × 404,901,963,546
  4. Step 4: Simplify right side
    199,672,915,715.50x = 163,945,600,083,406,297,759,744
  5. Step 5: Solve for x
    x = 163,945,600,083,406,297,759,744/199,672,915,715.50
  6. Step 6: Final answer
    x = 821,070,797,188.14

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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.