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Finding the Third Proportional to 77,882,528 and 166,189,230

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Solution

The third proportional to 77,882,528 and 166,189,230 is: 354,622,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,528 : 166,189,230 = 166,189,230 : x
  2. Step 2: Convert to fraction form
    77,882,528/166,189,230 = 166,189,230/x
  3. Step 3: Cross multiply
    77,882,528x = 166,189,230 × 166,189,230
  4. Step 4: Simplify right side
    77,882,528x = 27,618,860,167,992,900
  5. Step 5: Solve for x
    x = 27,618,860,167,992,900/77,882,528
  6. Step 6: Final answer
    x = 354,622,029.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.