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Finding the Third Proportional to 47,083.50 and 101,635.88

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Solution

The third proportional to 47,083.50 and 101,635.88 is: 219,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,083.50 : 101,635.88 = 101,635.88 : x
  2. Step 2: Convert to fraction form
    47,083.50/101,635.88 = 101,635.88/x
  3. Step 3: Cross multiply
    47,083.50x = 101,635.88 × 101,635.88
  4. Step 4: Simplify right side
    47,083.50x = 10,329,851,087.02
  5. Step 5: Solve for x
    x = 10,329,851,087.02/47,083.50
  6. Step 6: Final answer
    x = 219,394.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.