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Finding the Third Proportional to 105,098 and 230,635

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Solution

The third proportional to 105,098 and 230,635 is: 506,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098 : 230,635 = 230,635 : x
  2. Step 2: Convert to fraction form
    105,098/230,635 = 230,635/x
  3. Step 3: Cross multiply
    105,098x = 230,635 × 230,635
  4. Step 4: Simplify right side
    105,098x = 53,192,503,225
  5. Step 5: Solve for x
    x = 53,192,503,225/105,098
  6. Step 6: Final answer
    x = 506,122.89

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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.