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Finding the Third Proportional to 66,850.31 and 139,304.81

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Solution

The third proportional to 66,850.31 and 139,304.81 is: 290,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,850.31 : 139,304.81 = 139,304.81 : x
  2. Step 2: Convert to fraction form
    66,850.31/139,304.81 = 139,304.81/x
  3. Step 3: Cross multiply
    66,850.31x = 139,304.81 × 139,304.81
  4. Step 4: Simplify right side
    66,850.31x = 19,405,830,785.66
  5. Step 5: Solve for x
    x = 19,405,830,785.66/66,850.31
  6. Step 6: Final answer
    x = 290,287.81

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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.