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Finding the Third Proportional to 93,394 and 199,910

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Solution

The third proportional to 93,394 and 199,910 is: 427,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,394 : 199,910 = 199,910 : x
  2. Step 2: Convert to fraction form
    93,394/199,910 = 199,910/x
  3. Step 3: Cross multiply
    93,394x = 199,910 × 199,910
  4. Step 4: Simplify right side
    93,394x = 39,964,008,100
  5. Step 5: Solve for x
    x = 39,964,008,100/93,394
  6. Step 6: Final answer
    x = 427,907.66

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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.