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Finding the Third Proportional to 68,337 and 149,833.50

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Solution

The third proportional to 68,337 and 149,833.50 is: 328,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,337 : 149,833.50 = 149,833.50 : x
  2. Step 2: Convert to fraction form
    68,337/149,833.50 = 149,833.50/x
  3. Step 3: Cross multiply
    68,337x = 149,833.50 × 149,833.50
  4. Step 4: Simplify right side
    68,337x = 22,450,077,722.25
  5. Step 5: Solve for x
    x = 22,450,077,722.25/68,337
  6. Step 6: Final answer
    x = 328,520.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.