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Finding the Third Proportional to 103,035 and 219,679

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Solution

The third proportional to 103,035 and 219,679 is: 468,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,035 : 219,679 = 219,679 : x
  2. Step 2: Convert to fraction form
    103,035/219,679 = 219,679/x
  3. Step 3: Cross multiply
    103,035x = 219,679 × 219,679
  4. Step 4: Simplify right side
    103,035x = 48,258,863,041
  5. Step 5: Solve for x
    x = 48,258,863,041/103,035
  6. Step 6: Final answer
    x = 468,373.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.