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Finding the Third Proportional to 106,749.75 and 231,030.75

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Solution

The third proportional to 106,749.75 and 231,030.75 is: 500,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,749.75 : 231,030.75 = 231,030.75 : x
  2. Step 2: Convert to fraction form
    106,749.75/231,030.75 = 231,030.75/x
  3. Step 3: Cross multiply
    106,749.75x = 231,030.75 × 231,030.75
  4. Step 4: Simplify right side
    106,749.75x = 53,375,207,445.56
  5. Step 5: Solve for x
    x = 53,375,207,445.56/106,749.75
  6. Step 6: Final answer
    x = 500,003.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.