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Finding the Third Proportional to 177,883,814,661 and 270,993,687,124.50

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Solution

The third proportional to 177,883,814,661 and 270,993,687,124.50 is: 412,840,137,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,883,814,661 : 270,993,687,124.50 = 270,993,687,124.50 : x
  2. Step 2: Convert to fraction form
    177,883,814,661/270,993,687,124.50 = 270,993,687,124.50/x
  3. Step 3: Cross multiply
    177,883,814,661x = 270,993,687,124.50 × 270,993,687,124.50
  4. Step 4: Simplify right side
    177,883,814,661x = 73,437,578,461,331,396,231,168
  5. Step 5: Solve for x
    x = 73,437,578,461,331,396,231,168/177,883,814,661
  6. Step 6: Final answer
    x = 412,840,137,261.98

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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.