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Finding the Third Proportional to 94,792.78 and 203,527.69

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Solution

The third proportional to 94,792.78 and 203,527.69 is: 436,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,792.78 : 203,527.69 = 203,527.69 : x
  2. Step 2: Convert to fraction form
    94,792.78/203,527.69 = 203,527.69/x
  3. Step 3: Cross multiply
    94,792.78x = 203,527.69 × 203,527.69
  4. Step 4: Simplify right side
    94,792.78x = 41,423,519,579.10
  5. Step 5: Solve for x
    x = 41,423,519,579.10/94,792.78
  6. Step 6: Final answer
    x = 436,990.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.