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Finding the Third Proportional to 75,664,998.75 and 157,368,834

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Solution

The third proportional to 75,664,998.75 and 157,368,834 is: 327,297,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664,998.75 : 157,368,834 = 157,368,834 : x
  2. Step 2: Convert to fraction form
    75,664,998.75/157,368,834 = 157,368,834/x
  3. Step 3: Cross multiply
    75,664,998.75x = 157,368,834 × 157,368,834
  4. Step 4: Simplify right side
    75,664,998.75x = 24,764,949,914,519,556
  5. Step 5: Solve for x
    x = 24,764,949,914,519,556/75,664,998.75
  6. Step 6: Final answer
    x = 327,297,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.