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Finding the Third Proportional to 98,586 and 215,190

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Solution

The third proportional to 98,586 and 215,190 is: 469,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,586 : 215,190 = 215,190 : x
  2. Step 2: Convert to fraction form
    98,586/215,190 = 215,190/x
  3. Step 3: Cross multiply
    98,586x = 215,190 × 215,190
  4. Step 4: Simplify right side
    98,586x = 46,306,736,100
  5. Step 5: Solve for x
    x = 46,306,736,100/98,586
  6. Step 6: Final answer
    x = 469,709.05

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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.