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Finding the Third Proportional to 101,943.56 and 220,686.94

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Solution

The third proportional to 101,943.56 and 220,686.94 is: 477,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.56 : 220,686.94 = 220,686.94 : x
  2. Step 2: Convert to fraction form
    101,943.56/220,686.94 = 220,686.94/x
  3. Step 3: Cross multiply
    101,943.56x = 220,686.94 × 220,686.94
  4. Step 4: Simplify right side
    101,943.56x = 48,702,724,383.13
  5. Step 5: Solve for x
    x = 48,702,724,383.13/101,943.56
  6. Step 6: Final answer
    x = 477,742.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.