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Finding the Third Proportional to 99,764.50 and 215,355

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Solution

The third proportional to 99,764.50 and 215,355 is: 464,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,764.50 : 215,355 = 215,355 : x
  2. Step 2: Convert to fraction form
    99,764.50/215,355 = 215,355/x
  3. Step 3: Cross multiply
    99,764.50x = 215,355 × 215,355
  4. Step 4: Simplify right side
    99,764.50x = 46,377,776,025
  5. Step 5: Solve for x
    x = 46,377,776,025/99,764.50
  6. Step 6: Final answer
    x = 464,872.54

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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.