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Finding the Third Proportional to 107,319.94 and 233,092.69

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Solution

The third proportional to 107,319.94 and 233,092.69 is: 506,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,319.94 : 233,092.69 = 233,092.69 : x
  2. Step 2: Convert to fraction form
    107,319.94/233,092.69 = 233,092.69/x
  3. Step 3: Cross multiply
    107,319.94x = 233,092.69 × 233,092.69
  4. Step 4: Simplify right side
    107,319.94x = 54,332,200,965.97
  5. Step 5: Solve for x
    x = 54,332,200,965.97/107,319.94
  6. Step 6: Final answer
    x = 506,263.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.