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Finding the Third Proportional to 80,999,112 and 177,764,064

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Solution

The third proportional to 80,999,112 and 177,764,064 is: 390,128,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,999,112 : 177,764,064 = 177,764,064 : x
  2. Step 2: Convert to fraction form
    80,999,112/177,764,064 = 177,764,064/x
  3. Step 3: Cross multiply
    80,999,112x = 177,764,064 × 177,764,064
  4. Step 4: Simplify right side
    80,999,112x = 31,600,062,449,796,096
  5. Step 5: Solve for x
    x = 31,600,062,449,796,096/80,999,112
  6. Step 6: Final answer
    x = 390,128,504.74

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Why These Related Problems?

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