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Finding the Third Proportional to 82,361,700 and 179,065,800

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Solution

The third proportional to 82,361,700 and 179,065,800 is: 389,313,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,361,700 : 179,065,800 = 179,065,800 : x
  2. Step 2: Convert to fraction form
    82,361,700/179,065,800 = 179,065,800/x
  3. Step 3: Cross multiply
    82,361,700x = 179,065,800 × 179,065,800
  4. Step 4: Simplify right side
    82,361,700x = 32,064,560,729,640,000
  5. Step 5: Solve for x
    x = 32,064,560,729,640,000/82,361,700
  6. Step 6: Final answer
    x = 389,313,973.97

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Why These Related Problems?

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