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Finding the Third Proportional to 45,445.50 and 99,549

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Solution

The third proportional to 45,445.50 and 99,549 is: 218,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,445.50 : 99,549 = 99,549 : x
  2. Step 2: Convert to fraction form
    45,445.50/99,549 = 99,549/x
  3. Step 3: Cross multiply
    45,445.50x = 99,549 × 99,549
  4. Step 4: Simplify right side
    45,445.50x = 9,910,003,401
  5. Step 5: Solve for x
    x = 9,910,003,401/45,445.50
  6. Step 6: Final answer
    x = 218,063.47

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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.