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Finding the Third Proportional to 177,687,072 and 396,207,003

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Solution

The third proportional to 177,687,072 and 396,207,003 is: 883,463,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,687,072 : 396,207,003 = 396,207,003 : x
  2. Step 2: Convert to fraction form
    177,687,072/396,207,003 = 396,207,003/x
  3. Step 3: Cross multiply
    177,687,072x = 396,207,003 × 396,207,003
  4. Step 4: Simplify right side
    177,687,072x = 156,979,989,226,242,016
  5. Step 5: Solve for x
    x = 156,979,989,226,242,016/177,687,072
  6. Step 6: Final answer
    x = 883,463,199.99

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.