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Finding the Third Proportional to 45,295.88 and 99,553.50

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Solution

The third proportional to 45,295.88 and 99,553.50 is: 218,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,295.88 : 99,553.50 = 99,553.50 : x
  2. Step 2: Convert to fraction form
    45,295.88/99,553.50 = 99,553.50/x
  3. Step 3: Cross multiply
    45,295.88x = 99,553.50 × 99,553.50
  4. Step 4: Simplify right side
    45,295.88x = 9,910,899,362.25
  5. Step 5: Solve for x
    x = 9,910,899,362.25/45,295.88
  6. Step 6: Final answer
    x = 218,803.57

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Why These Related Problems?

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