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Finding the Third Proportional to 134,261,034 and 289,181,016

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Solution

The third proportional to 134,261,034 and 289,181,016 is: 622,858,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,261,034 : 289,181,016 = 289,181,016 : x
  2. Step 2: Convert to fraction form
    134,261,034/289,181,016 = 289,181,016/x
  3. Step 3: Cross multiply
    134,261,034x = 289,181,016 × 289,181,016
  4. Step 4: Simplify right side
    134,261,034x = 83,625,660,014,792,256
  5. Step 5: Solve for x
    x = 83,625,660,014,792,256/134,261,034
  6. Step 6: Final answer
    x = 622,858,751.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.