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Finding the Third Proportional to 93,769.25 and 221,214.75

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Solution

The third proportional to 93,769.25 and 221,214.75 is: 521,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,769.25 : 221,214.75 = 221,214.75 : x
  2. Step 2: Convert to fraction form
    93,769.25/221,214.75 = 221,214.75/x
  3. Step 3: Cross multiply
    93,769.25x = 221,214.75 × 221,214.75
  4. Step 4: Simplify right side
    93,769.25x = 48,935,965,617.56
  5. Step 5: Solve for x
    x = 48,935,965,617.56/93,769.25
  6. Step 6: Final answer
    x = 521,876.47

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.