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Finding the Third Proportional to 99,024.75 and 213,832.13

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Solution

The third proportional to 99,024.75 and 213,832.13 is: 461,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,024.75 : 213,832.13 = 213,832.13 : x
  2. Step 2: Convert to fraction form
    99,024.75/213,832.13 = 213,832.13/x
  3. Step 3: Cross multiply
    99,024.75x = 213,832.13 × 213,832.13
  4. Step 4: Simplify right side
    99,024.75x = 45,724,177,682.02
  5. Step 5: Solve for x
    x = 45,724,177,682.02/99,024.75
  6. Step 6: Final answer
    x = 461,744.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.