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Finding the Third Proportional to 100,983 and 218,796

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Solution

The third proportional to 100,983 and 218,796 is: 474,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,983 : 218,796 = 218,796 : x
  2. Step 2: Convert to fraction form
    100,983/218,796 = 218,796/x
  3. Step 3: Cross multiply
    100,983x = 218,796 × 218,796
  4. Step 4: Simplify right side
    100,983x = 47,871,689,616
  5. Step 5: Solve for x
    x = 47,871,689,616/100,983
  6. Step 6: Final answer
    x = 474,056.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.