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Finding the Third Proportional to 105,112.69 and 147,394.69

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Solution

The third proportional to 105,112.69 and 147,394.69 is: 206,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,112.69 : 147,394.69 = 147,394.69 : x
  2. Step 2: Convert to fraction form
    105,112.69/147,394.69 = 147,394.69/x
  3. Step 3: Cross multiply
    105,112.69x = 147,394.69 × 147,394.69
  4. Step 4: Simplify right side
    105,112.69x = 21,725,193,903.22
  5. Step 5: Solve for x
    x = 21,725,193,903.22/105,112.69
  6. Step 6: Final answer
    x = 206,684.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.