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Finding the Third Proportional to 93,666 and 200,500

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Solution

The third proportional to 93,666 and 200,500 is: 429,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,666 : 200,500 = 200,500 : x
  2. Step 2: Convert to fraction form
    93,666/200,500 = 200,500/x
  3. Step 3: Cross multiply
    93,666x = 200,500 × 200,500
  4. Step 4: Simplify right side
    93,666x = 40,200,250,000
  5. Step 5: Solve for x
    x = 40,200,250,000/93,666
  6. Step 6: Final answer
    x = 429,187.22

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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.