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Finding the Third Proportional to 99,424 and 205,544

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Solution

The third proportional to 99,424 and 205,544 is: 424,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,424 : 205,544 = 205,544 : x
  2. Step 2: Convert to fraction form
    99,424/205,544 = 205,544/x
  3. Step 3: Cross multiply
    99,424x = 205,544 × 205,544
  4. Step 4: Simplify right side
    99,424x = 42,248,335,936
  5. Step 5: Solve for x
    x = 42,248,335,936/99,424
  6. Step 6: Final answer
    x = 424,930.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.