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Finding the Third Proportional to 99,594 and 214,292

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Solution

The third proportional to 99,594 and 214,292 is: 461,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,594 : 214,292 = 214,292 : x
  2. Step 2: Convert to fraction form
    99,594/214,292 = 214,292/x
  3. Step 3: Cross multiply
    99,594x = 214,292 × 214,292
  4. Step 4: Simplify right side
    99,594x = 45,921,061,264
  5. Step 5: Solve for x
    x = 45,921,061,264/99,594
  6. Step 6: Final answer
    x = 461,082.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.