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Finding the Third Proportional to 105,072.19 and 228,004.88

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Solution

The third proportional to 105,072.19 and 228,004.88 is: 494,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.19 : 228,004.88 = 228,004.88 : x
  2. Step 2: Convert to fraction form
    105,072.19/228,004.88 = 228,004.88/x
  3. Step 3: Cross multiply
    105,072.19x = 228,004.88 × 228,004.88
  4. Step 4: Simplify right side
    105,072.19x = 51,986,223,023.77
  5. Step 5: Solve for x
    x = 51,986,223,023.77/105,072.19
  6. Step 6: Final answer
    x = 494,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.