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Finding the Third Proportional to 178,100,511.75 and 272,447,286.75

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Solution

The third proportional to 178,100,511.75 and 272,447,286.75 is: 416,773,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100,511.75 : 272,447,286.75 = 272,447,286.75 : x
  2. Step 2: Convert to fraction form
    178,100,511.75/272,447,286.75 = 272,447,286.75/x
  3. Step 3: Cross multiply
    178,100,511.75x = 272,447,286.75 × 272,447,286.75
  4. Step 4: Simplify right side
    178,100,511.75x = 74,227,524,057,436,720
  5. Step 5: Solve for x
    x = 74,227,524,057,436,720/178,100,511.75
  6. Step 6: Final answer
    x = 416,773,221.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.