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Finding the Third Proportional to 40,914 and 88,283.25

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Solution

The third proportional to 40,914 and 88,283.25 is: 190,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,914 : 88,283.25 = 88,283.25 : x
  2. Step 2: Convert to fraction form
    40,914/88,283.25 = 88,283.25/x
  3. Step 3: Cross multiply
    40,914x = 88,283.25 × 88,283.25
  4. Step 4: Simplify right side
    40,914x = 7,793,932,230.56
  5. Step 5: Solve for x
    x = 7,793,932,230.56/40,914
  6. Step 6: Final answer
    x = 190,495.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.