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Finding the Third Proportional to 69,023.81 and 150,541.88

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Solution

The third proportional to 69,023.81 and 150,541.88 is: 328,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,023.81 : 150,541.88 = 150,541.88 : x
  2. Step 2: Convert to fraction form
    69,023.81/150,541.88 = 150,541.88/x
  3. Step 3: Cross multiply
    69,023.81x = 150,541.88 × 150,541.88
  4. Step 4: Simplify right side
    69,023.81x = 22,662,856,128.52
  5. Step 5: Solve for x
    x = 22,662,856,128.52/69,023.81
  6. Step 6: Final answer
    x = 328,333.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.