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Finding the Third Proportional to 47,008.75 and 100,578.25

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Solution

The third proportional to 47,008.75 and 100,578.25 is: 215,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008.75 : 100,578.25 = 100,578.25 : x
  2. Step 2: Convert to fraction form
    47,008.75/100,578.25 = 100,578.25/x
  3. Step 3: Cross multiply
    47,008.75x = 100,578.25 × 100,578.25
  4. Step 4: Simplify right side
    47,008.75x = 10,115,984,373.06
  5. Step 5: Solve for x
    x = 10,115,984,373.06/47,008.75
  6. Step 6: Final answer
    x = 215,193.65

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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.