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Finding the Third Proportional to 93,519 and 200,330

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Solution

The third proportional to 93,519 and 200,330 is: 429,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,519 : 200,330 = 200,330 : x
  2. Step 2: Convert to fraction form
    93,519/200,330 = 200,330/x
  3. Step 3: Cross multiply
    93,519x = 200,330 × 200,330
  4. Step 4: Simplify right side
    93,519x = 40,132,108,900
  5. Step 5: Solve for x
    x = 40,132,108,900/93,519
  6. Step 6: Final answer
    x = 429,133.21

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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.