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Finding the Third Proportional to 108,201 and 236,313.75

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Solution

The third proportional to 108,201 and 236,313.75 is: 516,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,201 : 236,313.75 = 236,313.75 : x
  2. Step 2: Convert to fraction form
    108,201/236,313.75 = 236,313.75/x
  3. Step 3: Cross multiply
    108,201x = 236,313.75 × 236,313.75
  4. Step 4: Simplify right side
    108,201x = 55,844,188,439.06
  5. Step 5: Solve for x
    x = 55,844,188,439.06/108,201
  6. Step 6: Final answer
    x = 516,115.27

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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.