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Finding the Third Proportional to 96,261 and 211,122

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Solution

The third proportional to 96,261 and 211,122 is: 463,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261 : 211,122 = 211,122 : x
  2. Step 2: Convert to fraction form
    96,261/211,122 = 211,122/x
  3. Step 3: Cross multiply
    96,261x = 211,122 × 211,122
  4. Step 4: Simplify right side
    96,261x = 44,572,498,884
  5. Step 5: Solve for x
    x = 44,572,498,884/96,261
  6. Step 6: Final answer
    x = 463,037.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.