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Finding the Third Proportional to 93,781.50 and 199,863

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Solution

The third proportional to 93,781.50 and 199,863 is: 425,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,781.50 : 199,863 = 199,863 : x
  2. Step 2: Convert to fraction form
    93,781.50/199,863 = 199,863/x
  3. Step 3: Cross multiply
    93,781.50x = 199,863 × 199,863
  4. Step 4: Simplify right side
    93,781.50x = 39,945,218,769
  5. Step 5: Solve for x
    x = 39,945,218,769/93,781.50
  6. Step 6: Final answer
    x = 425,939.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.