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Finding the Third Proportional to 93,028.50 and 196,569

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Solution

The third proportional to 93,028.50 and 196,569 is: 415,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,028.50 : 196,569 = 196,569 : x
  2. Step 2: Convert to fraction form
    93,028.50/196,569 = 196,569/x
  3. Step 3: Cross multiply
    93,028.50x = 196,569 × 196,569
  4. Step 4: Simplify right side
    93,028.50x = 38,639,371,761
  5. Step 5: Solve for x
    x = 38,639,371,761/93,028.50
  6. Step 6: Final answer
    x = 415,349.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.