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Finding the Third Proportional to 106,805.81 and 233,560.69

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Solution

The third proportional to 106,805.81 and 233,560.69 is: 510,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,805.81 : 233,560.69 = 233,560.69 : x
  2. Step 2: Convert to fraction form
    106,805.81/233,560.69 = 233,560.69/x
  3. Step 3: Cross multiply
    106,805.81x = 233,560.69 × 233,560.69
  4. Step 4: Simplify right side
    106,805.81x = 54,550,594,745.47
  5. Step 5: Solve for x
    x = 54,550,594,745.47/106,805.81
  6. Step 6: Final answer
    x = 510,745.56

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