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Finding the Third Proportional to 98,173 and 209,461

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Solution

The third proportional to 98,173 and 209,461 is: 446,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,173 : 209,461 = 209,461 : x
  2. Step 2: Convert to fraction form
    98,173/209,461 = 209,461/x
  3. Step 3: Cross multiply
    98,173x = 209,461 × 209,461
  4. Step 4: Simplify right side
    98,173x = 43,873,910,521
  5. Step 5: Solve for x
    x = 43,873,910,521/98,173
  6. Step 6: Final answer
    x = 446,904.04

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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.