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Finding the Third Proportional to 47,847.09 and 103,006.13

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Solution

The third proportional to 47,847.09 and 103,006.13 is: 221,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847.09 : 103,006.13 = 103,006.13 : x
  2. Step 2: Convert to fraction form
    47,847.09/103,006.13 = 103,006.13/x
  3. Step 3: Cross multiply
    47,847.09x = 103,006.13 × 103,006.13
  4. Step 4: Simplify right side
    47,847.09x = 10,610,261,787.52
  5. Step 5: Solve for x
    x = 10,610,261,787.52/47,847.09
  6. Step 6: Final answer
    x = 221,753.53

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Why These Related Problems?

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