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Finding the Third Proportional to 42,014,292 and 91,199,064

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Solution

The third proportional to 42,014,292 and 91,199,064 is: 197,962,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014,292 : 91,199,064 = 91,199,064 : x
  2. Step 2: Convert to fraction form
    42,014,292/91,199,064 = 91,199,064/x
  3. Step 3: Cross multiply
    42,014,292x = 91,199,064 × 91,199,064
  4. Step 4: Simplify right side
    42,014,292x = 8,317,269,274,476,096
  5. Step 5: Solve for x
    x = 8,317,269,274,476,096/42,014,292
  6. Step 6: Final answer
    x = 197,962,856.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.