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Finding the Third Proportional to 104,741,869.50 and 227,613,695.63

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Solution

The third proportional to 104,741,869.50 and 227,613,695.63 is: 494,625,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,741,869.50 : 227,613,695.63 = 227,613,695.63 : x
  2. Step 2: Convert to fraction form
    104,741,869.50/227,613,695.63 = 227,613,695.63/x
  3. Step 3: Cross multiply
    104,741,869.50x = 227,613,695.63 × 227,613,695.63
  4. Step 4: Simplify right side
    104,741,869.50x = 51,807,994,436,070,144
  5. Step 5: Solve for x
    x = 51,807,994,436,070,144/104,741,869.50
  6. Step 6: Final answer
    x = 494,625,450.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.