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Finding the Third Proportional to 40,992.19 and 89,649

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Solution

The third proportional to 40,992.19 and 89,649 is: 196,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992.19 : 89,649 = 89,649 : x
  2. Step 2: Convert to fraction form
    40,992.19/89,649 = 89,649/x
  3. Step 3: Cross multiply
    40,992.19x = 89,649 × 89,649
  4. Step 4: Simplify right side
    40,992.19x = 8,036,943,201
  5. Step 5: Solve for x
    x = 8,036,943,201/40,992.19
  6. Step 6: Final answer
    x = 196,060.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.