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Finding the Third Proportional to 98,856 and 217,392

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Solution

The third proportional to 98,856 and 217,392 is: 478,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,856 : 217,392 = 217,392 : x
  2. Step 2: Convert to fraction form
    98,856/217,392 = 217,392/x
  3. Step 3: Cross multiply
    98,856x = 217,392 × 217,392
  4. Step 4: Simplify right side
    98,856x = 47,259,281,664
  5. Step 5: Solve for x
    x = 47,259,281,664/98,856
  6. Step 6: Final answer
    x = 478,061.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.