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Finding the Third Proportional to 93,028.50 and 203,788.50

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Solution

The third proportional to 93,028.50 and 203,788.50 is: 446,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,028.50 : 203,788.50 = 203,788.50 : x
  2. Step 2: Convert to fraction form
    93,028.50/203,788.50 = 203,788.50/x
  3. Step 3: Cross multiply
    93,028.50x = 203,788.50 × 203,788.50
  4. Step 4: Simplify right side
    93,028.50x = 41,529,752,732.25
  5. Step 5: Solve for x
    x = 41,529,752,732.25/93,028.50
  6. Step 6: Final answer
    x = 446,419.67

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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.