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Finding the Third Proportional to 99,880 and 214,586

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Solution

The third proportional to 99,880 and 214,586 is: 461,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,880 : 214,586 = 214,586 : x
  2. Step 2: Convert to fraction form
    99,880/214,586 = 214,586/x
  3. Step 3: Cross multiply
    99,880x = 214,586 × 214,586
  4. Step 4: Simplify right side
    99,880x = 46,047,151,396
  5. Step 5: Solve for x
    x = 46,047,151,396/99,880
  6. Step 6: Final answer
    x = 461,024.74

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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.