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Finding the Third Proportional to 187,511,308 and 411,327,912

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Solution

The third proportional to 187,511,308 and 411,327,912 is: 902,295,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,511,308 : 411,327,912 = 411,327,912 : x
  2. Step 2: Convert to fraction form
    187,511,308/411,327,912 = 411,327,912/x
  3. Step 3: Cross multiply
    187,511,308x = 411,327,912 × 411,327,912
  4. Step 4: Simplify right side
    187,511,308x = 169,190,651,190,279,744
  5. Step 5: Solve for x
    x = 169,190,651,190,279,744/187,511,308
  6. Step 6: Final answer
    x = 902,295,722.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.