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Finding the Third Proportional to 46,905.75 and 99,962.44

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Solution

The third proportional to 46,905.75 and 99,962.44 is: 213,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,905.75 : 99,962.44 = 99,962.44 : x
  2. Step 2: Convert to fraction form
    46,905.75/99,962.44 = 99,962.44/x
  3. Step 3: Cross multiply
    46,905.75x = 99,962.44 × 99,962.44
  4. Step 4: Simplify right side
    46,905.75x = 9,992,488,910.94
  5. Step 5: Solve for x
    x = 9,992,488,910.94/46,905.75
  6. Step 6: Final answer
    x = 213,033.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.