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Finding the Third Proportional to 47,127.38 and 101,633.63

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Solution

The third proportional to 47,127.38 and 101,633.63 is: 219,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,127.38 : 101,633.63 = 101,633.63 : x
  2. Step 2: Convert to fraction form
    47,127.38/101,633.63 = 101,633.63/x
  3. Step 3: Cross multiply
    47,127.38x = 101,633.63 × 101,633.63
  4. Step 4: Simplify right side
    47,127.38x = 10,329,393,730.64
  5. Step 5: Solve for x
    x = 10,329,393,730.64/47,127.38
  6. Step 6: Final answer
    x = 219,180.33

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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.