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Finding the Third Proportional to 99,784 and 218,320

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Solution

The third proportional to 99,784 and 218,320 is: 477,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,784 : 218,320 = 218,320 : x
  2. Step 2: Convert to fraction form
    99,784/218,320 = 218,320/x
  3. Step 3: Cross multiply
    99,784x = 218,320 × 218,320
  4. Step 4: Simplify right side
    99,784x = 47,663,622,400
  5. Step 5: Solve for x
    x = 47,663,622,400/99,784
  6. Step 6: Final answer
    x = 477,667.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.