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Finding the Third Proportional to 71,811,072.56 and 113,728,542.75

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Solution

The third proportional to 71,811,072.56 and 113,728,542.75 is: 180,114,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811,072.56 : 113,728,542.75 = 113,728,542.75 : x
  2. Step 2: Convert to fraction form
    71,811,072.56/113,728,542.75 = 113,728,542.75/x
  3. Step 3: Cross multiply
    71,811,072.56x = 113,728,542.75 × 113,728,542.75
  4. Step 4: Simplify right side
    71,811,072.56x = 12,934,181,436,038,578
  5. Step 5: Solve for x
    x = 12,934,181,436,038,578/71,811,072.56
  6. Step 6: Final answer
    x = 180,114,026.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.