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Finding the Third Proportional to 107,107.88 and 235,238.63

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Solution

The third proportional to 107,107.88 and 235,238.63 is: 516,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,107.88 : 235,238.63 = 235,238.63 : x
  2. Step 2: Convert to fraction form
    107,107.88/235,238.63 = 235,238.63/x
  3. Step 3: Cross multiply
    107,107.88x = 235,238.63 × 235,238.63
  4. Step 4: Simplify right side
    107,107.88x = 55,337,210,691.89
  5. Step 5: Solve for x
    x = 55,337,210,691.89/107,107.88
  6. Step 6: Final answer
    x = 516,649.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.