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Finding the Third Proportional to 73,027,138 and 154,203,018

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Solution

The third proportional to 73,027,138 and 154,203,018 is: 325,612,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,027,138 : 154,203,018 = 154,203,018 : x
  2. Step 2: Convert to fraction form
    73,027,138/154,203,018 = 154,203,018/x
  3. Step 3: Cross multiply
    73,027,138x = 154,203,018 × 154,203,018
  4. Step 4: Simplify right side
    73,027,138x = 23,778,570,760,308,324
  5. Step 5: Solve for x
    x = 23,778,570,760,308,324/73,027,138
  6. Step 6: Final answer
    x = 325,612,798.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.