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Finding the Third Proportional to 82,816,964 and 179,435,992

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Solution

The third proportional to 82,816,964 and 179,435,992 is: 388,776,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816,964 : 179,435,992 = 179,435,992 : x
  2. Step 2: Convert to fraction form
    82,816,964/179,435,992 = 179,435,992/x
  3. Step 3: Cross multiply
    82,816,964x = 179,435,992 × 179,435,992
  4. Step 4: Simplify right side
    82,816,964x = 32,197,275,225,024,064
  5. Step 5: Solve for x
    x = 32,197,275,225,024,064/82,816,964
  6. Step 6: Final answer
    x = 388,776,328.78

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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.