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Finding the Third Proportional to 177,883,814,682 and 270,993,687,151.50

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Solution

The third proportional to 177,883,814,682 and 270,993,687,151.50 is: 412,840,137,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,883,814,682 : 270,993,687,151.50 = 270,993,687,151.50 : x
  2. Step 2: Convert to fraction form
    177,883,814,682/270,993,687,151.50 = 270,993,687,151.50/x
  3. Step 3: Cross multiply
    177,883,814,682x = 270,993,687,151.50 × 270,993,687,151.50
  4. Step 4: Simplify right side
    177,883,814,682x = 73,437,578,475,965,054,451,712
  5. Step 5: Solve for x
    x = 73,437,578,475,965,054,451,712/177,883,814,682
  6. Step 6: Final answer
    x = 412,840,137,295.51

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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.