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Finding the Third Proportional to 98,190 and 209,502

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Solution

The third proportional to 98,190 and 209,502 is: 447,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190 : 209,502 = 209,502 : x
  2. Step 2: Convert to fraction form
    98,190/209,502 = 209,502/x
  3. Step 3: Cross multiply
    98,190x = 209,502 × 209,502
  4. Step 4: Simplify right side
    98,190x = 43,891,088,004
  5. Step 5: Solve for x
    x = 43,891,088,004/98,190
  6. Step 6: Final answer
    x = 447,001.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.