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Finding the Third Proportional to 144,351,168 and 336,831,024

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Solution

The third proportional to 144,351,168 and 336,831,024 is: 785,966,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351,168 : 336,831,024 = 336,831,024 : x
  2. Step 2: Convert to fraction form
    144,351,168/336,831,024 = 336,831,024/x
  3. Step 3: Cross multiply
    144,351,168x = 336,831,024 × 336,831,024
  4. Step 4: Simplify right side
    144,351,168x = 113,455,138,728,888,576
  5. Step 5: Solve for x
    x = 113,455,138,728,888,576/144,351,168
  6. Step 6: Final answer
    x = 785,966,198.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.