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Finding the Third Proportional to 199,050,747,620 and 438,674,378,064

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Solution

The third proportional to 199,050,747,620 and 438,674,378,064 is: 966,764,567,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,747,620 : 438,674,378,064 = 438,674,378,064 : x
  2. Step 2: Convert to fraction form
    199,050,747,620/438,674,378,064 = 438,674,378,064/x
  3. Step 3: Cross multiply
    199,050,747,620x = 438,674,378,064 × 438,674,378,064
  4. Step 4: Simplify right side
    199,050,747,620x = 192,435,209,969,837,220,560,896
  5. Step 5: Solve for x
    x = 192,435,209,969,837,220,560,896/199,050,747,620
  6. Step 6: Final answer
    x = 966,764,567,683.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.