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Finding the Third Proportional to 93,780 and 199,860

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Solution

The third proportional to 93,780 and 199,860 is: 425,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,780 : 199,860 = 199,860 : x
  2. Step 2: Convert to fraction form
    93,780/199,860 = 199,860/x
  3. Step 3: Cross multiply
    93,780x = 199,860 × 199,860
  4. Step 4: Simplify right side
    93,780x = 39,944,019,600
  5. Step 5: Solve for x
    x = 39,944,019,600/93,780
  6. Step 6: Final answer
    x = 425,933.24

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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.