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Finding the Third Proportional to 99,200.25 and 214,081.88

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Solution

The third proportional to 99,200.25 and 214,081.88 is: 462,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,200.25 : 214,081.88 = 214,081.88 : x
  2. Step 2: Convert to fraction form
    99,200.25/214,081.88 = 214,081.88/x
  3. Step 3: Cross multiply
    99,200.25x = 214,081.88 × 214,081.88
  4. Step 4: Simplify right side
    99,200.25x = 45,831,049,203.52
  5. Step 5: Solve for x
    x = 45,831,049,203.52/99,200.25
  6. Step 6: Final answer
    x = 462,005.38

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