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Finding the Third Proportional to 93,519 and 200,169

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Solution

The third proportional to 93,519 and 200,169 is: 428,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,519 : 200,169 = 200,169 : x
  2. Step 2: Convert to fraction form
    93,519/200,169 = 200,169/x
  3. Step 3: Cross multiply
    93,519x = 200,169 × 200,169
  4. Step 4: Simplify right side
    93,519x = 40,067,628,561
  5. Step 5: Solve for x
    x = 40,067,628,561/93,519
  6. Step 6: Final answer
    x = 428,443.72

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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.