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Finding the Third Proportional to 110,335,634 and 234,120,504

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Solution

The third proportional to 110,335,634 and 234,120,504 is: 496,778,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,335,634 : 234,120,504 = 234,120,504 : x
  2. Step 2: Convert to fraction form
    110,335,634/234,120,504 = 234,120,504/x
  3. Step 3: Cross multiply
    110,335,634x = 234,120,504 × 234,120,504
  4. Step 4: Simplify right side
    110,335,634x = 54,812,410,393,214,016
  5. Step 5: Solve for x
    x = 54,812,410,393,214,016/110,335,634
  6. Step 6: Final answer
    x = 496,778,859.25

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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.