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Finding the Third Proportional to 99,822 and 214,248

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Solution

The third proportional to 99,822 and 214,248 is: 459,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822 : 214,248 = 214,248 : x
  2. Step 2: Convert to fraction form
    99,822/214,248 = 214,248/x
  3. Step 3: Cross multiply
    99,822x = 214,248 × 214,248
  4. Step 4: Simplify right side
    99,822x = 45,902,205,504
  5. Step 5: Solve for x
    x = 45,902,205,504/99,822
  6. Step 6: Final answer
    x = 459,840.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.