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Finding the Third Proportional to 93,427.50 and 204,999

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Solution

The third proportional to 93,427.50 and 204,999 is: 449,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,427.50 : 204,999 = 204,999 : x
  2. Step 2: Convert to fraction form
    93,427.50/204,999 = 204,999/x
  3. Step 3: Cross multiply
    93,427.50x = 204,999 × 204,999
  4. Step 4: Simplify right side
    93,427.50x = 42,024,590,001
  5. Step 5: Solve for x
    x = 42,024,590,001/93,427.50
  6. Step 6: Final answer
    x = 449,809.64

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Why These Related Problems?

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