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Finding the Third Proportional to 103,323 and 211,029

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Solution

The third proportional to 103,323 and 211,029 is: 431,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,323 : 211,029 = 211,029 : x
  2. Step 2: Convert to fraction form
    103,323/211,029 = 211,029/x
  3. Step 3: Cross multiply
    103,323x = 211,029 × 211,029
  4. Step 4: Simplify right side
    103,323x = 44,533,238,841
  5. Step 5: Solve for x
    x = 44,533,238,841/103,323
  6. Step 6: Final answer
    x = 431,009.93

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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.