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Finding the Third Proportional to 93,728.25 and 202,218.75

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Solution

The third proportional to 93,728.25 and 202,218.75 is: 436,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,728.25 : 202,218.75 = 202,218.75 : x
  2. Step 2: Convert to fraction form
    93,728.25/202,218.75 = 202,218.75/x
  3. Step 3: Cross multiply
    93,728.25x = 202,218.75 × 202,218.75
  4. Step 4: Simplify right side
    93,728.25x = 40,892,422,851.56
  5. Step 5: Solve for x
    x = 40,892,422,851.56/93,728.25
  6. Step 6: Final answer
    x = 436,287.06

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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.