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Finding the Third Proportional to 82,324,320 and 178,996,994

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Solution

The third proportional to 82,324,320 and 178,996,994 is: 389,191,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324,320 : 178,996,994 = 178,996,994 : x
  2. Step 2: Convert to fraction form
    82,324,320/178,996,994 = 178,996,994/x
  3. Step 3: Cross multiply
    82,324,320x = 178,996,994 × 178,996,994
  4. Step 4: Simplify right side
    82,324,320x = 32,039,923,861,036,036
  5. Step 5: Solve for x
    x = 32,039,923,861,036,036/82,324,320
  6. Step 6: Final answer
    x = 389,191,479.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.