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Finding the Third Proportional to 75,788,029.69 and 164,439,674.44

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Solution

The third proportional to 75,788,029.69 and 164,439,674.44 is: 356,789,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788,029.69 : 164,439,674.44 = 164,439,674.44 : x
  2. Step 2: Convert to fraction form
    75,788,029.69/164,439,674.44 = 164,439,674.44/x
  3. Step 3: Cross multiply
    75,788,029.69x = 164,439,674.44 × 164,439,674.44
  4. Step 4: Simplify right side
    75,788,029.69x = 27,040,406,529,110,992
  5. Step 5: Solve for x
    x = 27,040,406,529,110,992/75,788,029.69
  6. Step 6: Final answer
    x = 356,789,939.53

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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.