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Finding the Third Proportional to 93,528.84 and 204,553.69

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Solution

The third proportional to 93,528.84 and 204,553.69 is: 447,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,528.84 : 204,553.69 = 204,553.69 : x
  2. Step 2: Convert to fraction form
    93,528.84/204,553.69 = 204,553.69/x
  3. Step 3: Cross multiply
    93,528.84x = 204,553.69 × 204,553.69
  4. Step 4: Simplify right side
    93,528.84x = 41,842,211,069.85
  5. Step 5: Solve for x
    x = 41,842,211,069.85/93,528.84
  6. Step 6: Final answer
    x = 447,372.27

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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.