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Finding the Third Proportional to 189,171,204 and 407,514,056

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Solution

The third proportional to 189,171,204 and 407,514,056 is: 877,869,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,171,204 : 407,514,056 = 407,514,056 : x
  2. Step 2: Convert to fraction form
    189,171,204/407,514,056 = 407,514,056/x
  3. Step 3: Cross multiply
    189,171,204x = 407,514,056 × 407,514,056
  4. Step 4: Simplify right side
    189,171,204x = 166,067,705,837,571,136
  5. Step 5: Solve for x
    x = 166,067,705,837,571,136/189,171,204
  6. Step 6: Final answer
    x = 877,869,899.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.