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Finding the Third Proportional to 46,256.44 and 99,650.44

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Solution

The third proportional to 46,256.44 and 99,650.44 is: 214,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256.44 : 99,650.44 = 99,650.44 : x
  2. Step 2: Convert to fraction form
    46,256.44/99,650.44 = 99,650.44/x
  3. Step 3: Cross multiply
    46,256.44x = 99,650.44 × 99,650.44
  4. Step 4: Simplify right side
    46,256.44x = 9,930,209,693.94
  5. Step 5: Solve for x
    x = 9,930,209,693.94/46,256.44
  6. Step 6: Final answer
    x = 214,677.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.