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Finding the Third Proportional to 99,505.34 and 218,558.25

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Solution

The third proportional to 99,505.34 and 218,558.25 is: 480,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,505.34 : 218,558.25 = 218,558.25 : x
  2. Step 2: Convert to fraction form
    99,505.34/218,558.25 = 218,558.25/x
  3. Step 3: Cross multiply
    99,505.34x = 218,558.25 × 218,558.25
  4. Step 4: Simplify right side
    99,505.34x = 47,767,708,643.06
  5. Step 5: Solve for x
    x = 47,767,708,643.06/99,505.34
  6. Step 6: Final answer
    x = 480,051.73

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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.