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Finding the Third Proportional to 98,926.25 and 233,291.75

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Solution

The third proportional to 98,926.25 and 233,291.75 is: 550,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,926.25 : 233,291.75 = 233,291.75 : x
  2. Step 2: Convert to fraction form
    98,926.25/233,291.75 = 233,291.75/x
  3. Step 3: Cross multiply
    98,926.25x = 233,291.75 × 233,291.75
  4. Step 4: Simplify right side
    98,926.25x = 54,425,040,618.06
  5. Step 5: Solve for x
    x = 54,425,040,618.06/98,926.25
  6. Step 6: Final answer
    x = 550,157.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.