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Finding the Third Proportional to 93,919 and 203,762

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Solution

The third proportional to 93,919 and 203,762 is: 442,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,919 : 203,762 = 203,762 : x
  2. Step 2: Convert to fraction form
    93,919/203,762 = 203,762/x
  3. Step 3: Cross multiply
    93,919x = 203,762 × 203,762
  4. Step 4: Simplify right side
    93,919x = 41,518,952,644
  5. Step 5: Solve for x
    x = 41,518,952,644/93,919
  6. Step 6: Final answer
    x = 442,071.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.