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Finding the Third Proportional to 195,098.63 and 421,544.25

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Solution

The third proportional to 195,098.63 and 421,544.25 is: 910,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,098.63 : 421,544.25 = 421,544.25 : x
  2. Step 2: Convert to fraction form
    195,098.63/421,544.25 = 421,544.25/x
  3. Step 3: Cross multiply
    195,098.63x = 421,544.25 × 421,544.25
  4. Step 4: Simplify right side
    195,098.63x = 177,699,554,708.06
  5. Step 5: Solve for x
    x = 177,699,554,708.06/195,098.63
  6. Step 6: Final answer
    x = 910,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.