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Finding the Third Proportional to 46,046.60 and 101,771.44

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Solution

The third proportional to 46,046.60 and 101,771.44 is: 224,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046.60 : 101,771.44 = 101,771.44 : x
  2. Step 2: Convert to fraction form
    46,046.60/101,771.44 = 101,771.44/x
  3. Step 3: Cross multiply
    46,046.60x = 101,771.44 × 101,771.44
  4. Step 4: Simplify right side
    46,046.60x = 10,357,425,490.82
  5. Step 5: Solve for x
    x = 10,357,425,490.82/46,046.60
  6. Step 6: Final answer
    x = 224,933.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.