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Finding the Third Proportional to 76,592,648,216.25 and 167,613,672,414.37

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Solution

The third proportional to 76,592,648,216.25 and 167,613,672,414.37 is: 366,802,086,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,592,648,216.25 : 167,613,672,414.37 = 167,613,672,414.37 : x
  2. Step 2: Convert to fraction form
    76,592,648,216.25/167,613,672,414.37 = 167,613,672,414.37/x
  3. Step 3: Cross multiply
    76,592,648,216.25x = 167,613,672,414.37 × 167,613,672,414.37
  4. Step 4: Simplify right side
    76,592,648,216.25x = 28,094,343,180,231,735,508,992
  5. Step 5: Solve for x
    x = 28,094,343,180,231,735,508,992/76,592,648,216.25
  6. Step 6: Final answer
    x = 366,802,086,551.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.