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Finding the Third Proportional to 103,320 and 211,023

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Solution

The third proportional to 103,320 and 211,023 is: 430,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,320 : 211,023 = 211,023 : x
  2. Step 2: Convert to fraction form
    103,320/211,023 = 211,023/x
  3. Step 3: Cross multiply
    103,320x = 211,023 × 211,023
  4. Step 4: Simplify right side
    103,320x = 44,530,706,529
  5. Step 5: Solve for x
    x = 44,530,706,529/103,320
  6. Step 6: Final answer
    x = 430,997.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.