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Finding the Third Proportional to 45,334.69 and 102,709.27

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Solution

The third proportional to 45,334.69 and 102,709.27 is: 232,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,334.69 : 102,709.27 = 102,709.27 : x
  2. Step 2: Convert to fraction form
    45,334.69/102,709.27 = 102,709.27/x
  3. Step 3: Cross multiply
    45,334.69x = 102,709.27 × 102,709.27
  4. Step 4: Simplify right side
    45,334.69x = 10,549,193,245.23
  5. Step 5: Solve for x
    x = 10,549,193,245.23/45,334.69
  6. Step 6: Final answer
    x = 232,695.84

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.