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Finding the Third Proportional to 93,844.50 and 204,214.50

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Solution

The third proportional to 93,844.50 and 204,214.50 is: 444,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,844.50 : 204,214.50 = 204,214.50 : x
  2. Step 2: Convert to fraction form
    93,844.50/204,214.50 = 204,214.50/x
  3. Step 3: Cross multiply
    93,844.50x = 204,214.50 × 204,214.50
  4. Step 4: Simplify right side
    93,844.50x = 41,703,562,010.25
  5. Step 5: Solve for x
    x = 41,703,562,010.25/93,844.50
  6. Step 6: Final answer
    x = 444,390.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.