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Finding the Third Proportional to 107,350.31 and 229,462.88

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Solution

The third proportional to 107,350.31 and 229,462.88 is: 490,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,350.31 : 229,462.88 = 229,462.88 : x
  2. Step 2: Convert to fraction form
    107,350.31/229,462.88 = 229,462.88/x
  3. Step 3: Cross multiply
    107,350.31x = 229,462.88 × 229,462.88
  4. Step 4: Simplify right side
    107,350.31x = 52,653,211,003.27
  5. Step 5: Solve for x
    x = 52,653,211,003.27/107,350.31
  6. Step 6: Final answer
    x = 490,480.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.