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Finding the Third Proportional to 91,014.75 and 189,293.25

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Solution

The third proportional to 91,014.75 and 189,293.25 is: 393,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014.75 : 189,293.25 = 189,293.25 : x
  2. Step 2: Convert to fraction form
    91,014.75/189,293.25 = 189,293.25/x
  3. Step 3: Cross multiply
    91,014.75x = 189,293.25 × 189,293.25
  4. Step 4: Simplify right side
    91,014.75x = 35,831,934,495.56
  5. Step 5: Solve for x
    x = 35,831,934,495.56/91,014.75
  6. Step 6: Final answer
    x = 393,693.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.