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Finding the Third Proportional to 47,753.30 and 102,842.16

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Solution

The third proportional to 47,753.30 and 102,842.16 is: 221,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753.30 : 102,842.16 = 102,842.16 : x
  2. Step 2: Convert to fraction form
    47,753.30/102,842.16 = 102,842.16/x
  3. Step 3: Cross multiply
    47,753.30x = 102,842.16 × 102,842.16
  4. Step 4: Simplify right side
    47,753.30x = 10,576,509,102.15
  5. Step 5: Solve for x
    x = 10,576,509,102.15/47,753.30
  6. Step 6: Final answer
    x = 221,482.28

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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.