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Finding the Third Proportional to 182,173,089 and 396,691,912.50

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Solution

The third proportional to 182,173,089 and 396,691,912.50 is: 863,818,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,173,089 : 396,691,912.50 = 396,691,912.50 : x
  2. Step 2: Convert to fraction form
    182,173,089/396,691,912.50 = 396,691,912.50/x
  3. Step 3: Cross multiply
    182,173,089x = 396,691,912.50 × 396,691,912.50
  4. Step 4: Simplify right side
    182,173,089x = 157,364,473,442,907,648
  5. Step 5: Solve for x
    x = 157,364,473,442,907,648/182,173,089
  6. Step 6: Final answer
    x = 863,818,439.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.