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Finding the Third Proportional to 45,769.50 and 99,151.25

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Solution

The third proportional to 45,769.50 and 99,151.25 is: 214,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,769.50 : 99,151.25 = 99,151.25 : x
  2. Step 2: Convert to fraction form
    45,769.50/99,151.25 = 99,151.25/x
  3. Step 3: Cross multiply
    45,769.50x = 99,151.25 × 99,151.25
  4. Step 4: Simplify right side
    45,769.50x = 9,830,970,376.56
  5. Step 5: Solve for x
    x = 9,830,970,376.56/45,769.50
  6. Step 6: Final answer
    x = 214,793.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.