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Finding the Third Proportional to 103,853.25 and 226,928.25

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Solution

The third proportional to 103,853.25 and 226,928.25 is: 495,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853.25 : 226,928.25 = 226,928.25 : x
  2. Step 2: Convert to fraction form
    103,853.25/226,928.25 = 226,928.25/x
  3. Step 3: Cross multiply
    103,853.25x = 226,928.25 × 226,928.25
  4. Step 4: Simplify right side
    103,853.25x = 51,496,430,648.06
  5. Step 5: Solve for x
    x = 51,496,430,648.06/103,853.25
  6. Step 6: Final answer
    x = 495,857.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.