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Finding the Third Proportional to 66,678.19 and 145,339.31

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Solution

The third proportional to 66,678.19 and 145,339.31 is: 316,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,678.19 : 145,339.31 = 145,339.31 : x
  2. Step 2: Convert to fraction form
    66,678.19/145,339.31 = 145,339.31/x
  3. Step 3: Cross multiply
    66,678.19x = 145,339.31 × 145,339.31
  4. Step 4: Simplify right side
    66,678.19x = 21,123,515,757.97
  5. Step 5: Solve for x
    x = 21,123,515,757.97/66,678.19
  6. Step 6: Final answer
    x = 316,797.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.