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Finding the Third Proportional to 64,494,208 and 140,325,620

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Solution

The third proportional to 64,494,208 and 140,325,620 is: 305,318,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494,208 : 140,325,620 = 140,325,620 : x
  2. Step 2: Convert to fraction form
    64,494,208/140,325,620 = 140,325,620/x
  3. Step 3: Cross multiply
    64,494,208x = 140,325,620 × 140,325,620
  4. Step 4: Simplify right side
    64,494,208x = 19,691,279,628,384,400
  5. Step 5: Solve for x
    x = 19,691,279,628,384,400/64,494,208
  6. Step 6: Final answer
    x = 305,318,574.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.