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Finding the Third Proportional to 47,977.31 and 104,565.94

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Solution

The third proportional to 47,977.31 and 104,565.94 is: 227,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977.31 : 104,565.94 = 104,565.94 : x
  2. Step 2: Convert to fraction form
    47,977.31/104,565.94 = 104,565.94/x
  3. Step 3: Cross multiply
    47,977.31x = 104,565.94 × 104,565.94
  4. Step 4: Simplify right side
    47,977.31x = 10,934,035,285.25
  5. Step 5: Solve for x
    x = 10,934,035,285.25/47,977.31
  6. Step 6: Final answer
    x = 227,900.12

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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.