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Finding the Third Proportional to 176,227,461 and 381,743,712

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Solution

The third proportional to 176,227,461 and 381,743,712 is: 826,932,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,227,461 : 381,743,712 = 381,743,712 : x
  2. Step 2: Convert to fraction form
    176,227,461/381,743,712 = 381,743,712/x
  3. Step 3: Cross multiply
    176,227,461x = 381,743,712 × 381,743,712
  4. Step 4: Simplify right side
    176,227,461x = 145,728,261,651,538,944
  5. Step 5: Solve for x
    x = 145,728,261,651,538,944/176,227,461
  6. Step 6: Final answer
    x = 826,932,765.33

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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.