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Finding the Third Proportional to 45,663.75 and 109,203.19

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Solution

The third proportional to 45,663.75 and 109,203.19 is: 261,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,663.75 : 109,203.19 = 109,203.19 : x
  2. Step 2: Convert to fraction form
    45,663.75/109,203.19 = 109,203.19/x
  3. Step 3: Cross multiply
    45,663.75x = 109,203.19 × 109,203.19
  4. Step 4: Simplify right side
    45,663.75x = 11,925,336,160.16
  5. Step 5: Solve for x
    x = 11,925,336,160.16/45,663.75
  6. Step 6: Final answer
    x = 261,155.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.