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Finding the Third Proportional to 43,223.63 and 93,114.56

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Solution

The third proportional to 43,223.63 and 93,114.56 is: 200,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,223.63 : 93,114.56 = 93,114.56 : x
  2. Step 2: Convert to fraction form
    43,223.63/93,114.56 = 93,114.56/x
  3. Step 3: Cross multiply
    43,223.63x = 93,114.56 × 93,114.56
  4. Step 4: Simplify right side
    43,223.63x = 8,670,321,749.57
  5. Step 5: Solve for x
    x = 8,670,321,749.57/43,223.63
  6. Step 6: Final answer
    x = 200,592.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.