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Finding the Third Proportional to 108,200.25 and 236,751.75

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Solution

The third proportional to 108,200.25 and 236,751.75 is: 518,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,200.25 : 236,751.75 = 236,751.75 : x
  2. Step 2: Convert to fraction form
    108,200.25/236,751.75 = 236,751.75/x
  3. Step 3: Cross multiply
    108,200.25x = 236,751.75 × 236,751.75
  4. Step 4: Simplify right side
    108,200.25x = 56,051,391,128.06
  5. Step 5: Solve for x
    x = 56,051,391,128.06/108,200.25
  6. Step 6: Final answer
    x = 518,033.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.