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Finding the Third Proportional to 40,929.75 and 89,147.25

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Solution

The third proportional to 40,929.75 and 89,147.25 is: 194,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,929.75 : 89,147.25 = 89,147.25 : x
  2. Step 2: Convert to fraction form
    40,929.75/89,147.25 = 89,147.25/x
  3. Step 3: Cross multiply
    40,929.75x = 89,147.25 × 89,147.25
  4. Step 4: Simplify right side
    40,929.75x = 7,947,232,182.56
  5. Step 5: Solve for x
    x = 7,947,232,182.56/40,929.75
  6. Step 6: Final answer
    x = 194,167.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.