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Finding the Third Proportional to 42,109.88 and 91,227.94

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Solution

The third proportional to 42,109.88 and 91,227.94 is: 197,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109.88 : 91,227.94 = 91,227.94 : x
  2. Step 2: Convert to fraction form
    42,109.88/91,227.94 = 91,227.94/x
  3. Step 3: Cross multiply
    42,109.88x = 91,227.94 × 91,227.94
  4. Step 4: Simplify right side
    42,109.88x = 8,322,536,580.50
  5. Step 5: Solve for x
    x = 8,322,536,580.50/42,109.88
  6. Step 6: Final answer
    x = 197,638.60

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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.