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Finding the Third Proportional to 73,936,044 and 164,872,314

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Solution

The third proportional to 73,936,044 and 164,872,314 is: 367,653,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936,044 : 164,872,314 = 164,872,314 : x
  2. Step 2: Convert to fraction form
    73,936,044/164,872,314 = 164,872,314/x
  3. Step 3: Cross multiply
    73,936,044x = 164,872,314 × 164,872,314
  4. Step 4: Simplify right side
    73,936,044x = 27,182,879,923,714,596
  5. Step 5: Solve for x
    x = 27,182,879,923,714,596/73,936,044
  6. Step 6: Final answer
    x = 367,653,967.58

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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.