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Finding the Third Proportional to 106,040.06 and 230,738.06

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Solution

The third proportional to 106,040.06 and 230,738.06 is: 502,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,040.06 : 230,738.06 = 230,738.06 : x
  2. Step 2: Convert to fraction form
    106,040.06/230,738.06 = 230,738.06/x
  3. Step 3: Cross multiply
    106,040.06x = 230,738.06 × 230,738.06
  4. Step 4: Simplify right side
    106,040.06x = 53,240,053,486.25
  5. Step 5: Solve for x
    x = 53,240,053,486.25/106,040.06
  6. Step 6: Final answer
    x = 502,074.90

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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.