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Finding the Third Proportional to 130,650.47 and 199,723.22

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Solution

The third proportional to 130,650.47 and 199,723.22 is: 305,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,650.47 : 199,723.22 = 199,723.22 : x
  2. Step 2: Convert to fraction form
    130,650.47/199,723.22 = 199,723.22/x
  3. Step 3: Cross multiply
    130,650.47x = 199,723.22 × 199,723.22
  4. Step 4: Simplify right side
    130,650.47x = 39,889,364,107.86
  5. Step 5: Solve for x
    x = 39,889,364,107.86/130,650.47
  6. Step 6: Final answer
    x = 305,313.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.