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Finding the Third Proportional to 107,714.81 and 231,422.06

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Solution

The third proportional to 107,714.81 and 231,422.06 is: 497,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714.81 : 231,422.06 = 231,422.06 : x
  2. Step 2: Convert to fraction form
    107,714.81/231,422.06 = 231,422.06/x
  3. Step 3: Cross multiply
    107,714.81x = 231,422.06 × 231,422.06
  4. Step 4: Simplify right side
    107,714.81x = 53,556,171,011.75
  5. Step 5: Solve for x
    x = 53,556,171,011.75/107,714.81
  6. Step 6: Final answer
    x = 497,203.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.