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Finding the Third Proportional to 93,012 and 203,718

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Solution

The third proportional to 93,012 and 203,718 is: 446,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,012 : 203,718 = 203,718 : x
  2. Step 2: Convert to fraction form
    93,012/203,718 = 203,718/x
  3. Step 3: Cross multiply
    93,012x = 203,718 × 203,718
  4. Step 4: Simplify right side
    93,012x = 41,501,023,524
  5. Step 5: Solve for x
    x = 41,501,023,524/93,012
  6. Step 6: Final answer
    x = 446,189.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.