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Finding the Third Proportional to 98,974 and 207,666

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Solution

The third proportional to 98,974 and 207,666 is: 435,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,974 : 207,666 = 207,666 : x
  2. Step 2: Convert to fraction form
    98,974/207,666 = 207,666/x
  3. Step 3: Cross multiply
    98,974x = 207,666 × 207,666
  4. Step 4: Simplify right side
    98,974x = 43,125,167,556
  5. Step 5: Solve for x
    x = 43,125,167,556/98,974
  6. Step 6: Final answer
    x = 435,722.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.