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Finding the Third Proportional to 93,231.94 and 200,072.84

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Solution

The third proportional to 93,231.94 and 200,072.84 is: 429,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,231.94 : 200,072.84 = 200,072.84 : x
  2. Step 2: Convert to fraction form
    93,231.94/200,072.84 = 200,072.84/x
  3. Step 3: Cross multiply
    93,231.94x = 200,072.84 × 200,072.84
  4. Step 4: Simplify right side
    93,231.94x = 40,029,139,680.07
  5. Step 5: Solve for x
    x = 40,029,139,680.07/93,231.94
  6. Step 6: Final answer
    x = 429,350.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.