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Finding the Third Proportional to 177,883,814,655 and 270,993,687,115.50

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Solution

The third proportional to 177,883,814,655 and 270,993,687,115.50 is: 412,840,137,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,883,814,655 : 270,993,687,115.50 = 270,993,687,115.50 : x
  2. Step 2: Convert to fraction form
    177,883,814,655/270,993,687,115.50 = 270,993,687,115.50/x
  3. Step 3: Cross multiply
    177,883,814,655x = 270,993,687,115.50 × 270,993,687,115.50
  4. Step 4: Simplify right side
    177,883,814,655x = 73,437,578,456,453,512,953,856
  5. Step 5: Solve for x
    x = 73,437,578,456,453,512,953,856/177,883,814,655
  6. Step 6: Final answer
    x = 412,840,137,248.48

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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.