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Finding the Third Proportional to 93,465.14 and 225,336.94

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Solution

The third proportional to 93,465.14 and 225,336.94 is: 543,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465.14 : 225,336.94 = 225,336.94 : x
  2. Step 2: Convert to fraction form
    93,465.14/225,336.94 = 225,336.94/x
  3. Step 3: Cross multiply
    93,465.14x = 225,336.94 × 225,336.94
  4. Step 4: Simplify right side
    93,465.14x = 50,776,735,401.88
  5. Step 5: Solve for x
    x = 50,776,735,401.88/93,465.14
  6. Step 6: Final answer
    x = 543,269.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.