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Finding the Third Proportional to 93,399 and 199,919

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Solution

The third proportional to 93,399 and 199,919 is: 427,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,399 : 199,919 = 199,919 : x
  2. Step 2: Convert to fraction form
    93,399/199,919 = 199,919/x
  3. Step 3: Cross multiply
    93,399x = 199,919 × 199,919
  4. Step 4: Simplify right side
    93,399x = 39,967,606,561
  5. Step 5: Solve for x
    x = 39,967,606,561/93,399
  6. Step 6: Final answer
    x = 427,923.28

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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.