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Finding the Third Proportional to 123,072,144 and 262,617,120

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Solution

The third proportional to 123,072,144 and 262,617,120 is: 560,384,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,072,144 : 262,617,120 = 262,617,120 : x
  2. Step 2: Convert to fraction form
    123,072,144/262,617,120 = 262,617,120/x
  3. Step 3: Cross multiply
    123,072,144x = 262,617,120 × 262,617,120
  4. Step 4: Simplify right side
    123,072,144x = 68,967,751,717,094,400
  5. Step 5: Solve for x
    x = 68,967,751,717,094,400/123,072,144
  6. Step 6: Final answer
    x = 560,384,742.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.