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Finding the Third Proportional to 98,233 and 150,169.50

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Solution

The third proportional to 98,233 and 150,169.50 is: 229,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233 : 150,169.50 = 150,169.50 : x
  2. Step 2: Convert to fraction form
    98,233/150,169.50 = 150,169.50/x
  3. Step 3: Cross multiply
    98,233x = 150,169.50 × 150,169.50
  4. Step 4: Simplify right side
    98,233x = 22,550,878,730.25
  5. Step 5: Solve for x
    x = 22,550,878,730.25/98,233
  6. Step 6: Final answer
    x = 229,565.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.