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Finding the Third Proportional to 47,117.32 and 102,706.42

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Solution

The third proportional to 47,117.32 and 102,706.42 is: 223,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117.32 : 102,706.42 = 102,706.42 : x
  2. Step 2: Convert to fraction form
    47,117.32/102,706.42 = 102,706.42/x
  3. Step 3: Cross multiply
    47,117.32x = 102,706.42 × 102,706.42
  4. Step 4: Simplify right side
    47,117.32x = 10,548,608,291.97
  5. Step 5: Solve for x
    x = 10,548,608,291.97/47,117.32
  6. Step 6: Final answer
    x = 223,879.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.