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Finding the Third Proportional to 47,977.31 and 101,490.47

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Solution

The third proportional to 47,977.31 and 101,490.47 is: 214,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977.31 : 101,490.47 = 101,490.47 : x
  2. Step 2: Convert to fraction form
    47,977.31/101,490.47 = 101,490.47/x
  3. Step 3: Cross multiply
    47,977.31x = 101,490.47 × 101,490.47
  4. Step 4: Simplify right side
    47,977.31x = 10,300,315,247.09
  5. Step 5: Solve for x
    x = 10,300,315,247.09/47,977.31
  6. Step 6: Final answer
    x = 214,691.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.