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Finding the Third Proportional to 47,116.13 and 102,542.63

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Solution

The third proportional to 47,116.13 and 102,542.63 is: 223,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116.13 : 102,542.63 = 102,542.63 : x
  2. Step 2: Convert to fraction form
    47,116.13/102,542.63 = 102,542.63/x
  3. Step 3: Cross multiply
    47,116.13x = 102,542.63 × 102,542.63
  4. Step 4: Simplify right side
    47,116.13x = 10,514,989,941.89
  5. Step 5: Solve for x
    x = 10,514,989,941.89/47,116.13
  6. Step 6: Final answer
    x = 223,171.79

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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.