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Finding the Third Proportional to 96,851 and 209,787

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Solution

The third proportional to 96,851 and 209,787 is: 454,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,851 : 209,787 = 209,787 : x
  2. Step 2: Convert to fraction form
    96,851/209,787 = 209,787/x
  3. Step 3: Cross multiply
    96,851x = 209,787 × 209,787
  4. Step 4: Simplify right side
    96,851x = 44,010,585,369
  5. Step 5: Solve for x
    x = 44,010,585,369/96,851
  6. Step 6: Final answer
    x = 454,415.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.