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Finding the Third Proportional to 51,142.22 and 109,392.19

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Solution

The third proportional to 51,142.22 and 109,392.19 is: 233,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,142.22 : 109,392.19 = 109,392.19 : x
  2. Step 2: Convert to fraction form
    51,142.22/109,392.19 = 109,392.19/x
  3. Step 3: Cross multiply
    51,142.22x = 109,392.19 × 109,392.19
  4. Step 4: Simplify right side
    51,142.22x = 11,966,650,686.04
  5. Step 5: Solve for x
    x = 11,966,650,686.04/51,142.22
  6. Step 6: Final answer
    x = 233,987.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.