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Finding the Third Proportional to 93,552.75 and 205,787.25

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Solution

The third proportional to 93,552.75 and 205,787.25 is: 452,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,552.75 : 205,787.25 = 205,787.25 : x
  2. Step 2: Convert to fraction form
    93,552.75/205,787.25 = 205,787.25/x
  3. Step 3: Cross multiply
    93,552.75x = 205,787.25 × 205,787.25
  4. Step 4: Simplify right side
    93,552.75x = 42,348,392,262.56
  5. Step 5: Solve for x
    x = 42,348,392,262.56/93,552.75
  6. Step 6: Final answer
    x = 452,668.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.