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Finding the Third Proportional to 93,517.50 and 201,797.25

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Solution

The third proportional to 93,517.50 and 201,797.25 is: 435,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,517.50 : 201,797.25 = 201,797.25 : x
  2. Step 2: Convert to fraction form
    93,517.50/201,797.25 = 201,797.25/x
  3. Step 3: Cross multiply
    93,517.50x = 201,797.25 × 201,797.25
  4. Step 4: Simplify right side
    93,517.50x = 40,722,130,107.56
  5. Step 5: Solve for x
    x = 40,722,130,107.56/93,517.50
  6. Step 6: Final answer
    x = 435,449.30

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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.