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Finding the Third Proportional to 103,701 and 218,467

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Solution

The third proportional to 103,701 and 218,467 is: 460,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,701 : 218,467 = 218,467 : x
  2. Step 2: Convert to fraction form
    103,701/218,467 = 218,467/x
  3. Step 3: Cross multiply
    103,701x = 218,467 × 218,467
  4. Step 4: Simplify right side
    103,701x = 47,727,830,089
  5. Step 5: Solve for x
    x = 47,727,830,089/103,701
  6. Step 6: Final answer
    x = 460,244.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.