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Finding the Third Proportional to 187,511,300 and 411,327,896

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Solution

The third proportional to 187,511,300 and 411,327,896 is: 902,295,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,511,300 : 411,327,896 = 411,327,896 : x
  2. Step 2: Convert to fraction form
    187,511,300/411,327,896 = 411,327,896/x
  3. Step 3: Cross multiply
    187,511,300x = 411,327,896 × 411,327,896
  4. Step 4: Simplify right side
    187,511,300x = 169,190,638,027,786,816
  5. Step 5: Solve for x
    x = 169,190,638,027,786,816/187,511,300
  6. Step 6: Final answer
    x = 902,295,691.13

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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.