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Finding the Third Proportional to 45,000.98 and 99,343.97

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Solution

The third proportional to 45,000.98 and 99,343.97 is: 219,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,000.98 : 99,343.97 = 99,343.97 : x
  2. Step 2: Convert to fraction form
    45,000.98/99,343.97 = 99,343.97/x
  3. Step 3: Cross multiply
    45,000.98x = 99,343.97 × 99,343.97
  4. Step 4: Simplify right side
    45,000.98x = 9,869,224,127.00
  5. Step 5: Solve for x
    x = 9,869,224,127.00/45,000.98
  6. Step 6: Final answer
    x = 219,311.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.