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Finding the Third Proportional to 142,048,344 and 331,889,016

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Solution

The third proportional to 142,048,344 and 331,889,016 is: 775,442,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048,344 : 331,889,016 = 331,889,016 : x
  2. Step 2: Convert to fraction form
    142,048,344/331,889,016 = 331,889,016/x
  3. Step 3: Cross multiply
    142,048,344x = 331,889,016 × 331,889,016
  4. Step 4: Simplify right side
    142,048,344x = 110,150,318,941,448,256
  5. Step 5: Solve for x
    x = 110,150,318,941,448,256/142,048,344
  6. Step 6: Final answer
    x = 775,442,471.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.