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Finding the Third Proportional to 99,182 and 215,860

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Solution

The third proportional to 99,182 and 215,860 is: 469,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,182 : 215,860 = 215,860 : x
  2. Step 2: Convert to fraction form
    99,182/215,860 = 215,860/x
  3. Step 3: Cross multiply
    99,182x = 215,860 × 215,860
  4. Step 4: Simplify right side
    99,182x = 46,595,539,600
  5. Step 5: Solve for x
    x = 46,595,539,600/99,182
  6. Step 6: Final answer
    x = 469,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.