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Finding the Third Proportional to 99,230 and 234,199

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Solution

The third proportional to 99,230 and 234,199 is: 552,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,230 : 234,199 = 234,199 : x
  2. Step 2: Convert to fraction form
    99,230/234,199 = 234,199/x
  3. Step 3: Cross multiply
    99,230x = 234,199 × 234,199
  4. Step 4: Simplify right side
    99,230x = 54,849,171,601
  5. Step 5: Solve for x
    x = 54,849,171,601/99,230
  6. Step 6: Final answer
    x = 552,747.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.