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Finding the Third Proportional to 93,553.25 and 205,045.75

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Solution

The third proportional to 93,553.25 and 205,045.75 is: 449,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,553.25 : 205,045.75 = 205,045.75 : x
  2. Step 2: Convert to fraction form
    93,553.25/205,045.75 = 205,045.75/x
  3. Step 3: Cross multiply
    93,553.25x = 205,045.75 × 205,045.75
  4. Step 4: Simplify right side
    93,553.25x = 42,043,759,593.06
  5. Step 5: Solve for x
    x = 42,043,759,593.06/93,553.25
  6. Step 6: Final answer
    x = 449,409.93

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