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Finding the Third Proportional to 98,793.32 and 233,137.51

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Solution

The third proportional to 98,793.32 and 233,137.51 is: 550,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,793.32 : 233,137.51 = 233,137.51 : x
  2. Step 2: Convert to fraction form
    98,793.32/233,137.51 = 233,137.51/x
  3. Step 3: Cross multiply
    98,793.32x = 233,137.51 × 233,137.51
  4. Step 4: Simplify right side
    98,793.32x = 54,353,099,370.41
  5. Step 5: Solve for x
    x = 54,353,099,370.41/98,793.32
  6. Step 6: Final answer
    x = 550,169.80

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Why These Related Problems?

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