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Finding the Third Proportional to 100,570.78 and 209,410.73

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Solution

The third proportional to 100,570.78 and 209,410.73 is: 436,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.78 : 209,410.73 = 209,410.73 : x
  2. Step 2: Convert to fraction form
    100,570.78/209,410.73 = 209,410.73/x
  3. Step 3: Cross multiply
    100,570.78x = 209,410.73 × 209,410.73
  4. Step 4: Simplify right side
    100,570.78x = 43,852,855,671.48
  5. Step 5: Solve for x
    x = 43,852,855,671.48/100,570.78
  6. Step 6: Final answer
    x = 436,039.72

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.