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Finding the Third Proportional to 99,591.50 and 215,039

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Solution

The third proportional to 99,591.50 and 215,039 is: 464,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,591.50 : 215,039 = 215,039 : x
  2. Step 2: Convert to fraction form
    99,591.50/215,039 = 215,039/x
  3. Step 3: Cross multiply
    99,591.50x = 215,039 × 215,039
  4. Step 4: Simplify right side
    99,591.50x = 46,241,771,521
  5. Step 5: Solve for x
    x = 46,241,771,521/99,591.50
  6. Step 6: Final answer
    x = 464,314.44

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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.