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Finding the Third Proportional to 45,225 and 99,424.13

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Solution

The third proportional to 45,225 and 99,424.13 is: 218,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,225 : 99,424.13 = 99,424.13 : x
  2. Step 2: Convert to fraction form
    45,225/99,424.13 = 99,424.13/x
  3. Step 3: Cross multiply
    45,225x = 99,424.13 × 99,424.13
  4. Step 4: Simplify right side
    45,225x = 9,885,156,632.02
  5. Step 5: Solve for x
    x = 9,885,156,632.02/45,225
  6. Step 6: Final answer
    x = 218,577.26

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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.