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Finding the Third Proportional to 90,795.94 and 185,287.50

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Solution

The third proportional to 90,795.94 and 185,287.50 is: 378,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,795.94 : 185,287.50 = 185,287.50 : x
  2. Step 2: Convert to fraction form
    90,795.94/185,287.50 = 185,287.50/x
  3. Step 3: Cross multiply
    90,795.94x = 185,287.50 × 185,287.50
  4. Step 4: Simplify right side
    90,795.94x = 34,331,457,656.25
  5. Step 5: Solve for x
    x = 34,331,457,656.25/90,795.94
  6. Step 6: Final answer
    x = 378,116.67

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.