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Finding the Third Proportional to 51,045.19 and 109,486.69

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Solution

The third proportional to 51,045.19 and 109,486.69 is: 234,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045.19 : 109,486.69 = 109,486.69 : x
  2. Step 2: Convert to fraction form
    51,045.19/109,486.69 = 109,486.69/x
  3. Step 3: Cross multiply
    51,045.19x = 109,486.69 × 109,486.69
  4. Step 4: Simplify right side
    51,045.19x = 11,987,334,739.72
  5. Step 5: Solve for x
    x = 11,987,334,739.72/51,045.19
  6. Step 6: Final answer
    x = 234,837.71

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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.