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Finding the Third Proportional to 100,677.94 and 217,119.23

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Solution

The third proportional to 100,677.94 and 217,119.23 is: 468,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.94 : 217,119.23 = 217,119.23 : x
  2. Step 2: Convert to fraction form
    100,677.94/217,119.23 = 217,119.23/x
  3. Step 3: Cross multiply
    100,677.94x = 217,119.23 × 217,119.23
  4. Step 4: Simplify right side
    100,677.94x = 47,140,761,935.59
  5. Step 5: Solve for x
    x = 47,140,761,935.59/100,677.94
  6. Step 6: Final answer
    x = 468,233.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.