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Finding the Third Proportional to 103,264.50 and 218,916

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Solution

The third proportional to 103,264.50 and 218,916 is: 464,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,264.50 : 218,916 = 218,916 : x
  2. Step 2: Convert to fraction form
    103,264.50/218,916 = 218,916/x
  3. Step 3: Cross multiply
    103,264.50x = 218,916 × 218,916
  4. Step 4: Simplify right side
    103,264.50x = 47,924,215,056
  5. Step 5: Solve for x
    x = 47,924,215,056/103,264.50
  6. Step 6: Final answer
    x = 464,091.87

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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.