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Finding the Third Proportional to 89,994.50 and 194,420.50

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Solution

The third proportional to 89,994.50 and 194,420.50 is: 420,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,994.50 : 194,420.50 = 194,420.50 : x
  2. Step 2: Convert to fraction form
    89,994.50/194,420.50 = 194,420.50/x
  3. Step 3: Cross multiply
    89,994.50x = 194,420.50 × 194,420.50
  4. Step 4: Simplify right side
    89,994.50x = 37,799,330,820.25
  5. Step 5: Solve for x
    x = 37,799,330,820.25/89,994.50
  6. Step 6: Final answer
    x = 420,018.23

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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.