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Finding the Third Proportional to 108,022.50 and 235,546.50

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Solution

The third proportional to 108,022.50 and 235,546.50 is: 513,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,022.50 : 235,546.50 = 235,546.50 : x
  2. Step 2: Convert to fraction form
    108,022.50/235,546.50 = 235,546.50/x
  3. Step 3: Cross multiply
    108,022.50x = 235,546.50 × 235,546.50
  4. Step 4: Simplify right side
    108,022.50x = 55,482,153,662.25
  5. Step 5: Solve for x
    x = 55,482,153,662.25/108,022.50
  6. Step 6: Final answer
    x = 513,616.64

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