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Finding the Third Proportional to 75,884,229,665.30 and 168,735,089,620.82

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Solution

The third proportional to 75,884,229,665.30 and 168,735,089,620.82 is: 375,196,936,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884,229,665.30 : 168,735,089,620.82 = 168,735,089,620.82 : x
  2. Step 2: Convert to fraction form
    75,884,229,665.30/168,735,089,620.82 = 168,735,089,620.82/x
  3. Step 3: Cross multiply
    75,884,229,665.30x = 168,735,089,620.82 × 168,735,089,620.82
  4. Step 4: Simplify right side
    75,884,229,665.30x = 28,471,530,469,346,158,575,616
  5. Step 5: Solve for x
    x = 28,471,530,469,346,158,575,616/75,884,229,665.30
  6. Step 6: Final answer
    x = 375,196,936,108.15

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.