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Finding the Third Proportional to 103,616 and 219,472

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Solution

The third proportional to 103,616 and 219,472 is: 464,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 219,472 = 219,472 : x
  2. Step 2: Convert to fraction form
    103,616/219,472 = 219,472/x
  3. Step 3: Cross multiply
    103,616x = 219,472 × 219,472
  4. Step 4: Simplify right side
    103,616x = 48,167,958,784
  5. Step 5: Solve for x
    x = 48,167,958,784/103,616
  6. Step 6: Final answer
    x = 464,869.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.