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Finding the Third Proportional to 110,661 and 237,100.50

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Solution

The third proportional to 110,661 and 237,100.50 is: 508,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,661 : 237,100.50 = 237,100.50 : x
  2. Step 2: Convert to fraction form
    110,661/237,100.50 = 237,100.50/x
  3. Step 3: Cross multiply
    110,661x = 237,100.50 × 237,100.50
  4. Step 4: Simplify right side
    110,661x = 56,216,647,100.25
  5. Step 5: Solve for x
    x = 56,216,647,100.25/110,661
  6. Step 6: Final answer
    x = 508,007.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.