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Finding the Third Proportional to 66,857.63 and 146,836.13

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Solution

The third proportional to 66,857.63 and 146,836.13 is: 322,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,857.63 : 146,836.13 = 146,836.13 : x
  2. Step 2: Convert to fraction form
    66,857.63/146,836.13 = 146,836.13/x
  3. Step 3: Cross multiply
    66,857.63x = 146,836.13 × 146,836.13
  4. Step 4: Simplify right side
    66,857.63x = 21,560,847,605.02
  5. Step 5: Solve for x
    x = 21,560,847,605.02/66,857.63
  6. Step 6: Final answer
    x = 322,488.98

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Why These Related Problems?

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