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Finding the Third Proportional to 47,233.50 and 99,798.75

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Solution

The third proportional to 47,233.50 and 99,798.75 is: 210,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.50 : 99,798.75 = 99,798.75 : x
  2. Step 2: Convert to fraction form
    47,233.50/99,798.75 = 99,798.75/x
  3. Step 3: Cross multiply
    47,233.50x = 99,798.75 × 99,798.75
  4. Step 4: Simplify right side
    47,233.50x = 9,959,790,501.56
  5. Step 5: Solve for x
    x = 9,959,790,501.56/47,233.50
  6. Step 6: Final answer
    x = 210,862.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.