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Finding the Third Proportional to 199,050,737,749 and 438,674,355,266

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Solution

The third proportional to 199,050,737,749 and 438,674,355,266 is: 966,764,515,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,737,749 : 438,674,355,266 = 438,674,355,266 : x
  2. Step 2: Convert to fraction form
    199,050,737,749/438,674,355,266 = 438,674,355,266/x
  3. Step 3: Cross multiply
    199,050,737,749x = 438,674,355,266 × 438,674,355,266
  4. Step 4: Simplify right side
    199,050,737,749x = 192,435,189,968,040,775,122,944
  5. Step 5: Solve for x
    x = 192,435,189,968,040,775,122,944/199,050,737,749
  6. Step 6: Final answer
    x = 966,764,515,139.34

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