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Finding the Third Proportional to 109,510.50 and 237,609.75

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Solution

The third proportional to 109,510.50 and 237,609.75 is: 515,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,510.50 : 237,609.75 = 237,609.75 : x
  2. Step 2: Convert to fraction form
    109,510.50/237,609.75 = 237,609.75/x
  3. Step 3: Cross multiply
    109,510.50x = 237,609.75 × 237,609.75
  4. Step 4: Simplify right side
    109,510.50x = 56,458,393,295.06
  5. Step 5: Solve for x
    x = 56,458,393,295.06/109,510.50
  6. Step 6: Final answer
    x = 515,552.33

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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.