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Finding the Third Proportional to 98,619 and 209,526

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Solution

The third proportional to 98,619 and 209,526 is: 445,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,619 : 209,526 = 209,526 : x
  2. Step 2: Convert to fraction form
    98,619/209,526 = 209,526/x
  3. Step 3: Cross multiply
    98,619x = 209,526 × 209,526
  4. Step 4: Simplify right side
    98,619x = 43,901,144,676
  5. Step 5: Solve for x
    x = 43,901,144,676/98,619
  6. Step 6: Final answer
    x = 445,159.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.