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Finding the Third Proportional to 84,885.50 and 179,889.50

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Solution

The third proportional to 84,885.50 and 179,889.50 is: 381,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,885.50 : 179,889.50 = 179,889.50 : x
  2. Step 2: Convert to fraction form
    84,885.50/179,889.50 = 179,889.50/x
  3. Step 3: Cross multiply
    84,885.50x = 179,889.50 × 179,889.50
  4. Step 4: Simplify right side
    84,885.50x = 32,360,232,210.25
  5. Step 5: Solve for x
    x = 32,360,232,210.25/84,885.50
  6. Step 6: Final answer
    x = 381,222.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.