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Finding the Third Proportional to 91,719.75 and 214,399.75

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Solution

The third proportional to 91,719.75 and 214,399.75 is: 501,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,719.75 : 214,399.75 = 214,399.75 : x
  2. Step 2: Convert to fraction form
    91,719.75/214,399.75 = 214,399.75/x
  3. Step 3: Cross multiply
    91,719.75x = 214,399.75 × 214,399.75
  4. Step 4: Simplify right side
    91,719.75x = 45,967,252,800.06
  5. Step 5: Solve for x
    x = 45,967,252,800.06/91,719.75
  6. Step 6: Final answer
    x = 501,170.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.