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Finding the Third Proportional to 216,550,217.25 and 467,617,344.75

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Solution

The third proportional to 216,550,217.25 and 467,617,344.75 is: 1,009,770,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,550,217.25 : 467,617,344.75 = 467,617,344.75 : x
  2. Step 2: Convert to fraction form
    216,550,217.25/467,617,344.75 = 467,617,344.75/x
  3. Step 3: Cross multiply
    216,550,217.25x = 467,617,344.75 × 467,617,344.75
  4. Step 4: Simplify right side
    216,550,217.25x = 218,665,981,111,040,352
  5. Step 5: Solve for x
    x = 218,665,981,111,040,352/216,550,217.25
  6. Step 6: Final answer
    x = 1,009,770,315.12

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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.