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Finding the Third Proportional to 107,706.75 and 226,435.50

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Solution

The third proportional to 107,706.75 and 226,435.50 is: 476,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.75 : 226,435.50 = 226,435.50 : x
  2. Step 2: Convert to fraction form
    107,706.75/226,435.50 = 226,435.50/x
  3. Step 3: Cross multiply
    107,706.75x = 226,435.50 × 226,435.50
  4. Step 4: Simplify right side
    107,706.75x = 51,273,035,660.25
  5. Step 5: Solve for x
    x = 51,273,035,660.25/107,706.75
  6. Step 6: Final answer
    x = 476,042.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.