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Finding the Third Proportional to 105,811.31 and 163,906.03

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Solution

The third proportional to 105,811.31 and 163,906.03 is: 253,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811.31 : 163,906.03 = 163,906.03 : x
  2. Step 2: Convert to fraction form
    105,811.31/163,906.03 = 163,906.03/x
  3. Step 3: Cross multiply
    105,811.31x = 163,906.03 × 163,906.03
  4. Step 4: Simplify right side
    105,811.31x = 26,865,187,080.13
  5. Step 5: Solve for x
    x = 26,865,187,080.13/105,811.31
  6. Step 6: Final answer
    x = 253,897.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.