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Finding the Third Proportional to 66,855.38 and 146,831.06

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Solution

The third proportional to 66,855.38 and 146,831.06 is: 322,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,855.38 : 146,831.06 = 146,831.06 : x
  2. Step 2: Convert to fraction form
    66,855.38/146,831.06 = 146,831.06/x
  3. Step 3: Cross multiply
    66,855.38x = 146,831.06 × 146,831.06
  4. Step 4: Simplify right side
    66,855.38x = 21,559,360,914.88
  5. Step 5: Solve for x
    x = 21,559,360,914.88/66,855.38
  6. Step 6: Final answer
    x = 322,477.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.