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Finding the Third Proportional to 82,816,962 and 179,435,988

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Solution

The third proportional to 82,816,962 and 179,435,988 is: 388,776,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816,962 : 179,435,988 = 179,435,988 : x
  2. Step 2: Convert to fraction form
    82,816,962/179,435,988 = 179,435,988/x
  3. Step 3: Cross multiply
    82,816,962x = 179,435,988 × 179,435,988
  4. Step 4: Simplify right side
    82,816,962x = 32,197,273,789,536,144
  5. Step 5: Solve for x
    x = 32,197,273,789,536,144/82,816,962
  6. Step 6: Final answer
    x = 388,776,320.84

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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.