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Finding the Third Proportional to 107,321.63 and 233,080.88

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Solution

The third proportional to 107,321.63 and 233,080.88 is: 506,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,321.63 : 233,080.88 = 233,080.88 : x
  2. Step 2: Convert to fraction form
    107,321.63/233,080.88 = 233,080.88/x
  3. Step 3: Cross multiply
    107,321.63x = 233,080.88 × 233,080.88
  4. Step 4: Simplify right side
    107,321.63x = 54,326,694,290.77
  5. Step 5: Solve for x
    x = 54,326,694,290.77/107,321.63
  6. Step 6: Final answer
    x = 506,204.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.