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Finding the Third Proportional to 96,849 and 209,782.50

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Solution

The third proportional to 96,849 and 209,782.50 is: 454,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,849 : 209,782.50 = 209,782.50 : x
  2. Step 2: Convert to fraction form
    96,849/209,782.50 = 209,782.50/x
  3. Step 3: Cross multiply
    96,849x = 209,782.50 × 209,782.50
  4. Step 4: Simplify right side
    96,849x = 44,008,697,306.25
  5. Step 5: Solve for x
    x = 44,008,697,306.25/96,849
  6. Step 6: Final answer
    x = 454,405.28

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Why These Related Problems?

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