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Finding the Third Proportional to 47,411.25 and 101,851.50

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Solution

The third proportional to 47,411.25 and 101,851.50 is: 218,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,411.25 : 101,851.50 = 101,851.50 : x
  2. Step 2: Convert to fraction form
    47,411.25/101,851.50 = 101,851.50/x
  3. Step 3: Cross multiply
    47,411.25x = 101,851.50 × 101,851.50
  4. Step 4: Simplify right side
    47,411.25x = 10,373,728,052.25
  5. Step 5: Solve for x
    x = 10,373,728,052.25/47,411.25
  6. Step 6: Final answer
    x = 218,803.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.