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Finding the Third Proportional to 93,808 and 200,738

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Solution

The third proportional to 93,808 and 200,738 is: 429,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,808 : 200,738 = 200,738 : x
  2. Step 2: Convert to fraction form
    93,808/200,738 = 200,738/x
  3. Step 3: Cross multiply
    93,808x = 200,738 × 200,738
  4. Step 4: Simplify right side
    93,808x = 40,295,744,644
  5. Step 5: Solve for x
    x = 40,295,744,644/93,808
  6. Step 6: Final answer
    x = 429,555.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.