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Finding the Third Proportional to 98,934 and 219,210

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Solution

The third proportional to 98,934 and 219,210 is: 485,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,934 : 219,210 = 219,210 : x
  2. Step 2: Convert to fraction form
    98,934/219,210 = 219,210/x
  3. Step 3: Cross multiply
    98,934x = 219,210 × 219,210
  4. Step 4: Simplify right side
    98,934x = 48,053,024,100
  5. Step 5: Solve for x
    x = 48,053,024,100/98,934
  6. Step 6: Final answer
    x = 485,707.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.