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Finding the Third Proportional to 99,393 and 212,181

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Solution

The third proportional to 99,393 and 212,181 is: 452,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,393 : 212,181 = 212,181 : x
  2. Step 2: Convert to fraction form
    99,393/212,181 = 212,181/x
  3. Step 3: Cross multiply
    99,393x = 212,181 × 212,181
  4. Step 4: Simplify right side
    99,393x = 45,020,776,761
  5. Step 5: Solve for x
    x = 45,020,776,761/99,393
  6. Step 6: Final answer
    x = 452,957.22

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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.