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Finding the Third Proportional to 95,267.81 and 209,972.25

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Solution

The third proportional to 95,267.81 and 209,972.25 is: 462,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,267.81 : 209,972.25 = 209,972.25 : x
  2. Step 2: Convert to fraction form
    95,267.81/209,972.25 = 209,972.25/x
  3. Step 3: Cross multiply
    95,267.81x = 209,972.25 × 209,972.25
  4. Step 4: Simplify right side
    95,267.81x = 44,088,345,770.06
  5. Step 5: Solve for x
    x = 44,088,345,770.06/95,267.81
  6. Step 6: Final answer
    x = 462,783.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.