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Finding the Third Proportional to 100,633.78 and 217,032.47

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Solution

The third proportional to 100,633.78 and 217,032.47 is: 468,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,633.78 : 217,032.47 = 217,032.47 : x
  2. Step 2: Convert to fraction form
    100,633.78/217,032.47 = 217,032.47/x
  3. Step 3: Cross multiply
    100,633.78x = 217,032.47 × 217,032.47
  4. Step 4: Simplify right side
    100,633.78x = 47,103,092,491.72
  5. Step 5: Solve for x
    x = 47,103,092,491.72/100,633.78
  6. Step 6: Final answer
    x = 468,064.42

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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.