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Finding the Third Proportional to 91,831.50 and 188,599.50

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Solution

The third proportional to 91,831.50 and 188,599.50 is: 387,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,831.50 : 188,599.50 = 188,599.50 : x
  2. Step 2: Convert to fraction form
    91,831.50/188,599.50 = 188,599.50/x
  3. Step 3: Cross multiply
    91,831.50x = 188,599.50 × 188,599.50
  4. Step 4: Simplify right side
    91,831.50x = 35,569,771,400.25
  5. Step 5: Solve for x
    x = 35,569,771,400.25/91,831.50
  6. Step 6: Final answer
    x = 387,337.37

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.