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Finding the Third Proportional to 105,908.88 and 233,301.88

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Solution

The third proportional to 105,908.88 and 233,301.88 is: 513,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,908.88 : 233,301.88 = 233,301.88 : x
  2. Step 2: Convert to fraction form
    105,908.88/233,301.88 = 233,301.88/x
  3. Step 3: Cross multiply
    105,908.88x = 233,301.88 × 233,301.88
  4. Step 4: Simplify right side
    105,908.88x = 54,429,764,878.52
  5. Step 5: Solve for x
    x = 54,429,764,878.52/105,908.88
  6. Step 6: Final answer
    x = 513,930.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.