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Finding the Third Proportional to 107,245.69 and 233,166.09

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Solution

The third proportional to 107,245.69 and 233,166.09 is: 506,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,245.69 : 233,166.09 = 233,166.09 : x
  2. Step 2: Convert to fraction form
    107,245.69/233,166.09 = 233,166.09/x
  3. Step 3: Cross multiply
    107,245.69x = 233,166.09 × 233,166.09
  4. Step 4: Simplify right side
    107,245.69x = 54,366,427,274.63
  5. Step 5: Solve for x
    x = 54,366,427,274.63/107,245.69
  6. Step 6: Final answer
    x = 506,933.46

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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.