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Finding the Third Proportional to 99,873 and 214,569

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Solution

The third proportional to 99,873 and 214,569 is: 460,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,873 : 214,569 = 214,569 : x
  2. Step 2: Convert to fraction form
    99,873/214,569 = 214,569/x
  3. Step 3: Cross multiply
    99,873x = 214,569 × 214,569
  4. Step 4: Simplify right side
    99,873x = 46,039,855,761
  5. Step 5: Solve for x
    x = 46,039,855,761/99,873
  6. Step 6: Final answer
    x = 460,984.01

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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.