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Finding the Third Proportional to 105,619.57 and 234,853.33

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Solution

The third proportional to 105,619.57 and 234,853.33 is: 522,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,619.57 : 234,853.33 = 234,853.33 : x
  2. Step 2: Convert to fraction form
    105,619.57/234,853.33 = 234,853.33/x
  3. Step 3: Cross multiply
    105,619.57x = 234,853.33 × 234,853.33
  4. Step 4: Simplify right side
    105,619.57x = 55,156,086,648.78
  5. Step 5: Solve for x
    x = 55,156,086,648.78/105,619.57
  6. Step 6: Final answer
    x = 522,214.65

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.