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Finding the Third Proportional to 68,831.06 and 152,401.69

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Solution

The third proportional to 68,831.06 and 152,401.69 is: 337,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,831.06 : 152,401.69 = 152,401.69 : x
  2. Step 2: Convert to fraction form
    68,831.06/152,401.69 = 152,401.69/x
  3. Step 3: Cross multiply
    68,831.06x = 152,401.69 × 152,401.69
  4. Step 4: Simplify right side
    68,831.06x = 23,226,274,352.85
  5. Step 5: Solve for x
    x = 23,226,274,352.85/68,831.06
  6. Step 6: Final answer
    x = 337,438.85

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.