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Finding the Third Proportional to 177,883,814,664 and 270,993,687,129

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Solution

The third proportional to 177,883,814,664 and 270,993,687,129 is: 412,840,137,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,883,814,664 : 270,993,687,129 = 270,993,687,129 : x
  2. Step 2: Convert to fraction form
    177,883,814,664/270,993,687,129 = 270,993,687,129/x
  3. Step 3: Cross multiply
    177,883,814,664x = 270,993,687,129 × 270,993,687,129
  4. Step 4: Simplify right side
    177,883,814,664x = 73,437,578,463,770,342,064,128
  5. Step 5: Solve for x
    x = 73,437,578,463,770,342,064,128/177,883,814,664
  6. Step 6: Final answer
    x = 412,840,137,268.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.