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Finding the Third Proportional to 40,938 and 89,941.50

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Solution

The third proportional to 40,938 and 89,941.50 is: 197,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938 : 89,941.50 = 89,941.50 : x
  2. Step 2: Convert to fraction form
    40,938/89,941.50 = 89,941.50/x
  3. Step 3: Cross multiply
    40,938x = 89,941.50 × 89,941.50
  4. Step 4: Simplify right side
    40,938x = 8,089,473,422.25
  5. Step 5: Solve for x
    x = 8,089,473,422.25/40,938
  6. Step 6: Final answer
    x = 197,603.04

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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.