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Finding the Third Proportional to 105,202 and 229,682

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Solution

The third proportional to 105,202 and 229,682 is: 501,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,202 : 229,682 = 229,682 : x
  2. Step 2: Convert to fraction form
    105,202/229,682 = 229,682/x
  3. Step 3: Cross multiply
    105,202x = 229,682 × 229,682
  4. Step 4: Simplify right side
    105,202x = 52,753,821,124
  5. Step 5: Solve for x
    x = 52,753,821,124/105,202
  6. Step 6: Final answer
    x = 501,452.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.