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Finding the Third Proportional to 73,936,048 and 164,872,322

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Solution

The third proportional to 73,936,048 and 164,872,322 is: 367,653,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936,048 : 164,872,322 = 164,872,322 : x
  2. Step 2: Convert to fraction form
    73,936,048/164,872,322 = 164,872,322/x
  3. Step 3: Cross multiply
    73,936,048x = 164,872,322 × 164,872,322
  4. Step 4: Simplify right side
    73,936,048x = 27,182,882,561,671,684
  5. Step 5: Solve for x
    x = 27,182,882,561,671,684/73,936,048
  6. Step 6: Final answer
    x = 367,653,983.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.