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Finding the Third Proportional to 93,014 and 203,722

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Solution

The third proportional to 93,014 and 203,722 is: 446,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,014 : 203,722 = 203,722 : x
  2. Step 2: Convert to fraction form
    93,014/203,722 = 203,722/x
  3. Step 3: Cross multiply
    93,014x = 203,722 × 203,722
  4. Step 4: Simplify right side
    93,014x = 41,502,653,284
  5. Step 5: Solve for x
    x = 41,502,653,284/93,014
  6. Step 6: Final answer
    x = 446,197.92

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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.