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Finding the Third Proportional to 173,844,144 and 368,412,192

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Solution

The third proportional to 173,844,144 and 368,412,192 is: 780,742,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,844,144 : 368,412,192 = 368,412,192 : x
  2. Step 2: Convert to fraction form
    173,844,144/368,412,192 = 368,412,192/x
  3. Step 3: Cross multiply
    173,844,144x = 368,412,192 × 368,412,192
  4. Step 4: Simplify right side
    173,844,144x = 135,727,543,214,244,864
  5. Step 5: Solve for x
    x = 135,727,543,214,244,864/173,844,144
  6. Step 6: Final answer
    x = 780,742,681.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.