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Finding the Third Proportional to 45,463.50 and 99,857.25

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Solution

The third proportional to 45,463.50 and 99,857.25 is: 219,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463.50 : 99,857.25 = 99,857.25 : x
  2. Step 2: Convert to fraction form
    45,463.50/99,857.25 = 99,857.25/x
  3. Step 3: Cross multiply
    45,463.50x = 99,857.25 × 99,857.25
  4. Step 4: Simplify right side
    45,463.50x = 9,971,470,377.56
  5. Step 5: Solve for x
    x = 9,971,470,377.56/45,463.50
  6. Step 6: Final answer
    x = 219,329.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.