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Finding the Third Proportional to 93,394 and 199,909

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Solution

The third proportional to 93,394 and 199,909 is: 427,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,394 : 199,909 = 199,909 : x
  2. Step 2: Convert to fraction form
    93,394/199,909 = 199,909/x
  3. Step 3: Cross multiply
    93,394x = 199,909 × 199,909
  4. Step 4: Simplify right side
    93,394x = 39,963,608,281
  5. Step 5: Solve for x
    x = 39,963,608,281/93,394
  6. Step 6: Final answer
    x = 427,903.38

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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.