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Finding the Third Proportional to 101,088 and 149,662.13

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Solution

The third proportional to 101,088 and 149,662.13 is: 221,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,088 : 149,662.13 = 149,662.13 : x
  2. Step 2: Convert to fraction form
    101,088/149,662.13 = 149,662.13/x
  3. Step 3: Cross multiply
    101,088x = 149,662.13 × 149,662.13
  4. Step 4: Simplify right side
    101,088x = 22,398,751,659.52
  5. Step 5: Solve for x
    x = 22,398,751,659.52/101,088
  6. Step 6: Final answer
    x = 221,576.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.