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Finding the Third Proportional to 99,904 and 212,524

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Solution

The third proportional to 99,904 and 212,524 is: 452,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904 : 212,524 = 212,524 : x
  2. Step 2: Convert to fraction form
    99,904/212,524 = 212,524/x
  3. Step 3: Cross multiply
    99,904x = 212,524 × 212,524
  4. Step 4: Simplify right side
    99,904x = 45,166,450,576
  5. Step 5: Solve for x
    x = 45,166,450,576/99,904
  6. Step 6: Final answer
    x = 452,098.52

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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.