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Finding the Third Proportional to 98,932.50 and 233,308.50

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Solution

The third proportional to 98,932.50 and 233,308.50 is: 550,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,932.50 : 233,308.50 = 233,308.50 : x
  2. Step 2: Convert to fraction form
    98,932.50/233,308.50 = 233,308.50/x
  3. Step 3: Cross multiply
    98,932.50x = 233,308.50 × 233,308.50
  4. Step 4: Simplify right side
    98,932.50x = 54,432,856,172.25
  5. Step 5: Solve for x
    x = 54,432,856,172.25/98,932.50
  6. Step 6: Final answer
    x = 550,201.97

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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.