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Finding the Third Proportional to 93,206.81 and 204,558.56

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Solution

The third proportional to 93,206.81 and 204,558.56 is: 448,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,206.81 : 204,558.56 = 204,558.56 : x
  2. Step 2: Convert to fraction form
    93,206.81/204,558.56 = 204,558.56/x
  3. Step 3: Cross multiply
    93,206.81x = 204,558.56 × 204,558.56
  4. Step 4: Simplify right side
    93,206.81x = 41,844,205,492.07
  5. Step 5: Solve for x
    x = 41,844,205,492.07/93,206.81
  6. Step 6: Final answer
    x = 448,939.35

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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.