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Finding the Third Proportional to 199,613,824 and 436,854,956

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Solution

The third proportional to 199,613,824 and 436,854,956 is: 956,057,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,613,824 : 436,854,956 = 436,854,956 : x
  2. Step 2: Convert to fraction form
    199,613,824/436,854,956 = 436,854,956/x
  3. Step 3: Cross multiply
    199,613,824x = 436,854,956 × 436,854,956
  4. Step 4: Simplify right side
    199,613,824x = 190,842,252,581,761,920
  5. Step 5: Solve for x
    x = 190,842,252,581,761,920/199,613,824
  6. Step 6: Final answer
    x = 956,057,294.82

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