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Finding the Third Proportional to 100,996.50 and 212,928

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Solution

The third proportional to 100,996.50 and 212,928 is: 448,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,996.50 : 212,928 = 212,928 : x
  2. Step 2: Convert to fraction form
    100,996.50/212,928 = 212,928/x
  3. Step 3: Cross multiply
    100,996.50x = 212,928 × 212,928
  4. Step 4: Simplify right side
    100,996.50x = 45,338,333,184
  5. Step 5: Solve for x
    x = 45,338,333,184/100,996.50
  6. Step 6: Final answer
    x = 448,909.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.