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Finding the Third Proportional to 85,703.06 and 188,016.19

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Solution

The third proportional to 85,703.06 and 188,016.19 is: 412,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,703.06 : 188,016.19 = 188,016.19 : x
  2. Step 2: Convert to fraction form
    85,703.06/188,016.19 = 188,016.19/x
  3. Step 3: Cross multiply
    85,703.06x = 188,016.19 × 188,016.19
  4. Step 4: Simplify right side
    85,703.06x = 35,350,086,762.04
  5. Step 5: Solve for x
    x = 35,350,086,762.04/85,703.06
  6. Step 6: Final answer
    x = 412,471.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.