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Finding the Third Proportional to 47,887.61 and 104,168.69

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Solution

The third proportional to 47,887.61 and 104,168.69 is: 226,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,887.61 : 104,168.69 = 104,168.69 : x
  2. Step 2: Convert to fraction form
    47,887.61/104,168.69 = 104,168.69/x
  3. Step 3: Cross multiply
    47,887.61x = 104,168.69 × 104,168.69
  4. Step 4: Simplify right side
    47,887.61x = 10,851,115,862.38
  5. Step 5: Solve for x
    x = 10,851,115,862.38/47,887.61
  6. Step 6: Final answer
    x = 226,595.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.