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Finding the Third Proportional to 82,010,958 and 180,392,988

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Solution

The third proportional to 82,010,958 and 180,392,988 is: 396,796,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,010,958 : 180,392,988 = 180,392,988 : x
  2. Step 2: Convert to fraction form
    82,010,958/180,392,988 = 180,392,988/x
  3. Step 3: Cross multiply
    82,010,958x = 180,392,988 × 180,392,988
  4. Step 4: Simplify right side
    82,010,958x = 32,541,630,119,568,144
  5. Step 5: Solve for x
    x = 32,541,630,119,568,144/82,010,958
  6. Step 6: Final answer
    x = 396,796,122.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.