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Finding the Third Proportional to 103,173.75 and 226,023.75

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Solution

The third proportional to 103,173.75 and 226,023.75 is: 495,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,173.75 : 226,023.75 = 226,023.75 : x
  2. Step 2: Convert to fraction form
    103,173.75/226,023.75 = 226,023.75/x
  3. Step 3: Cross multiply
    103,173.75x = 226,023.75 × 226,023.75
  4. Step 4: Simplify right side
    103,173.75x = 51,086,735,564.06
  5. Step 5: Solve for x
    x = 51,086,735,564.06/103,173.75
  6. Step 6: Final answer
    x = 495,152.45

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