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Finding the Third Proportional to 47,101.50 and 99,042.75

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Solution

The third proportional to 47,101.50 and 99,042.75 is: 208,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.50 : 99,042.75 = 99,042.75 : x
  2. Step 2: Convert to fraction form
    47,101.50/99,042.75 = 99,042.75/x
  3. Step 3: Cross multiply
    47,101.50x = 99,042.75 × 99,042.75
  4. Step 4: Simplify right side
    47,101.50x = 9,809,466,327.56
  5. Step 5: Solve for x
    x = 9,809,466,327.56/47,101.50
  6. Step 6: Final answer
    x = 208,262.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.