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Finding the Third Proportional to 93,679 and 203,031

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Solution

The third proportional to 93,679 and 203,031 is: 440,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,679 : 203,031 = 203,031 : x
  2. Step 2: Convert to fraction form
    93,679/203,031 = 203,031/x
  3. Step 3: Cross multiply
    93,679x = 203,031 × 203,031
  4. Step 4: Simplify right side
    93,679x = 41,221,586,961
  5. Step 5: Solve for x
    x = 41,221,586,961/93,679
  6. Step 6: Final answer
    x = 440,030.18

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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.