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Finding the Third Proportional to 92,667.94 and 203,378.63

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Solution

The third proportional to 92,667.94 and 203,378.63 is: 446,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,667.94 : 203,378.63 = 203,378.63 : x
  2. Step 2: Convert to fraction form
    92,667.94/203,378.63 = 203,378.63/x
  3. Step 3: Cross multiply
    92,667.94x = 203,378.63 × 203,378.63
  4. Step 4: Simplify right side
    92,667.94x = 41,362,865,106.89
  5. Step 5: Solve for x
    x = 41,362,865,106.89/92,667.94
  6. Step 6: Final answer
    x = 446,355.73

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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.