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Finding the Third Proportional to 47,131.75 and 101,010.25

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Solution

The third proportional to 47,131.75 and 101,010.25 is: 216,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,131.75 : 101,010.25 = 101,010.25 : x
  2. Step 2: Convert to fraction form
    47,131.75/101,010.25 = 101,010.25/x
  3. Step 3: Cross multiply
    47,131.75x = 101,010.25 × 101,010.25
  4. Step 4: Simplify right side
    47,131.75x = 10,203,070,605.06
  5. Step 5: Solve for x
    x = 10,203,070,605.06/47,131.75
  6. Step 6: Final answer
    x = 216,479.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.