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Finding the Third Proportional to 80,551,855,293 and 126,362,089,959

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Solution

The third proportional to 80,551,855,293 and 126,362,089,959 is: 198,224,829,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,551,855,293 : 126,362,089,959 = 126,362,089,959 : x
  2. Step 2: Convert to fraction form
    80,551,855,293/126,362,089,959 = 126,362,089,959/x
  3. Step 3: Cross multiply
    80,551,855,293x = 126,362,089,959 × 126,362,089,959
  4. Step 4: Simplify right side
    80,551,855,293x = 15,967,377,778,806,408,347,648
  5. Step 5: Solve for x
    x = 15,967,377,778,806,408,347,648/80,551,855,293
  6. Step 6: Final answer
    x = 198,224,829,468.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.