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Finding the Third Proportional to 93,385 and 199,893

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Solution

The third proportional to 93,385 and 199,893 is: 427,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,385 : 199,893 = 199,893 : x
  2. Step 2: Convert to fraction form
    93,385/199,893 = 199,893/x
  3. Step 3: Cross multiply
    93,385x = 199,893 × 199,893
  4. Step 4: Simplify right side
    93,385x = 39,957,211,449
  5. Step 5: Solve for x
    x = 39,957,211,449/93,385
  6. Step 6: Final answer
    x = 427,876.12

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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.