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Finding the Third Proportional to 98,223 and 214,438

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Solution

The third proportional to 98,223 and 214,438 is: 468,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,223 : 214,438 = 214,438 : x
  2. Step 2: Convert to fraction form
    98,223/214,438 = 214,438/x
  3. Step 3: Cross multiply
    98,223x = 214,438 × 214,438
  4. Step 4: Simplify right side
    98,223x = 45,983,655,844
  5. Step 5: Solve for x
    x = 45,983,655,844/98,223
  6. Step 6: Final answer
    x = 468,155.68

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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.