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Finding the Third Proportional to 43,025.63 and 93,201.75

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Solution

The third proportional to 43,025.63 and 93,201.75 is: 201,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,025.63 : 93,201.75 = 93,201.75 : x
  2. Step 2: Convert to fraction form
    43,025.63/93,201.75 = 93,201.75/x
  3. Step 3: Cross multiply
    43,025.63x = 93,201.75 × 93,201.75
  4. Step 4: Simplify right side
    43,025.63x = 8,686,566,203.06
  5. Step 5: Solve for x
    x = 8,686,566,203.06/43,025.63
  6. Step 6: Final answer
    x = 201,892.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.