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Finding the Third Proportional to 107,112 and 233,269.50

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Solution

The third proportional to 107,112 and 233,269.50 is: 508,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,112 : 233,269.50 = 233,269.50 : x
  2. Step 2: Convert to fraction form
    107,112/233,269.50 = 233,269.50/x
  3. Step 3: Cross multiply
    107,112x = 233,269.50 × 233,269.50
  4. Step 4: Simplify right side
    107,112x = 54,414,659,630.25
  5. Step 5: Solve for x
    x = 54,414,659,630.25/107,112
  6. Step 6: Final answer
    x = 508,016.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.