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Finding the Third Proportional to 105,750.56 and 216,659.81

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Solution

The third proportional to 105,750.56 and 216,659.81 is: 443,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750.56 : 216,659.81 = 216,659.81 : x
  2. Step 2: Convert to fraction form
    105,750.56/216,659.81 = 216,659.81/x
  3. Step 3: Cross multiply
    105,750.56x = 216,659.81 × 216,659.81
  4. Step 4: Simplify right side
    105,750.56x = 46,941,474,352.54
  5. Step 5: Solve for x
    x = 46,941,474,352.54/105,750.56
  6. Step 6: Final answer
    x = 443,888.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.