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Finding the Third Proportional to 64,444.36 and 141,583.57

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Solution

The third proportional to 64,444.36 and 141,583.57 is: 311,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,444.36 : 141,583.57 = 141,583.57 : x
  2. Step 2: Convert to fraction form
    64,444.36/141,583.57 = 141,583.57/x
  3. Step 3: Cross multiply
    64,444.36x = 141,583.57 × 141,583.57
  4. Step 4: Simplify right side
    64,444.36x = 20,045,907,382.43
  5. Step 5: Solve for x
    x = 20,045,907,382.43/64,444.36
  6. Step 6: Final answer
    x = 311,057.59

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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.