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Finding the Third Proportional to 111,911.63 and 158,200.31

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Solution

The third proportional to 111,911.63 and 158,200.31 is: 223,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,911.63 : 158,200.31 = 158,200.31 : x
  2. Step 2: Convert to fraction form
    111,911.63/158,200.31 = 158,200.31/x
  3. Step 3: Cross multiply
    111,911.63x = 158,200.31 × 158,200.31
  4. Step 4: Simplify right side
    111,911.63x = 25,027,338,875.10
  5. Step 5: Solve for x
    x = 25,027,338,875.10/111,911.63
  6. Step 6: Final answer
    x = 223,634.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.