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Finding the Third Proportional to 98,864.44 and 233,284.78

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Solution

The third proportional to 98,864.44 and 233,284.78 is: 550,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,864.44 : 233,284.78 = 233,284.78 : x
  2. Step 2: Convert to fraction form
    98,864.44/233,284.78 = 233,284.78/x
  3. Step 3: Cross multiply
    98,864.44x = 233,284.78 × 233,284.78
  4. Step 4: Simplify right side
    98,864.44x = 54,421,789,162.86
  5. Step 5: Solve for x
    x = 54,421,789,162.86/98,864.44
  6. Step 6: Final answer
    x = 550,468.81

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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.