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Finding the Third Proportional to 91,403.81 and 203,812.69

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Solution

The third proportional to 91,403.81 and 203,812.69 is: 454,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,403.81 : 203,812.69 = 203,812.69 : x
  2. Step 2: Convert to fraction form
    91,403.81/203,812.69 = 203,812.69/x
  3. Step 3: Cross multiply
    91,403.81x = 203,812.69 × 203,812.69
  4. Step 4: Simplify right side
    91,403.81x = 41,539,611,585.97
  5. Step 5: Solve for x
    x = 41,539,611,585.97/91,403.81
  6. Step 6: Final answer
    x = 454,462.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.