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Finding the Third Proportional to 105,163.31 and 228,070.69

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Solution

The third proportional to 105,163.31 and 228,070.69 is: 494,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163.31 : 228,070.69 = 228,070.69 : x
  2. Step 2: Convert to fraction form
    105,163.31/228,070.69 = 228,070.69/x
  3. Step 3: Cross multiply
    105,163.31x = 228,070.69 × 228,070.69
  4. Step 4: Simplify right side
    105,163.31x = 52,016,238,496.72
  5. Step 5: Solve for x
    x = 52,016,238,496.72/105,163.31
  6. Step 6: Final answer
    x = 494,623.43

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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.