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Finding the Third Proportional to 80,969,652.75 and 174,841,272.75

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Solution

The third proportional to 80,969,652.75 and 174,841,272.75 is: 377,542,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969,652.75 : 174,841,272.75 = 174,841,272.75 : x
  2. Step 2: Convert to fraction form
    80,969,652.75/174,841,272.75 = 174,841,272.75/x
  3. Step 3: Cross multiply
    80,969,652.75x = 174,841,272.75 × 174,841,272.75
  4. Step 4: Simplify right side
    80,969,652.75x = 30,569,470,656,839,892
  5. Step 5: Solve for x
    x = 30,569,470,656,839,892/80,969,652.75
  6. Step 6: Final answer
    x = 377,542,321.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.