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Finding the Third Proportional to 158,954,919.33 and 214,694,679.09

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Solution

The third proportional to 158,954,919.33 and 214,694,679.09 is: 289,980,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,954,919.33 : 214,694,679.09 = 214,694,679.09 : x
  2. Step 2: Convert to fraction form
    158,954,919.33/214,694,679.09 = 214,694,679.09/x
  3. Step 3: Cross multiply
    158,954,919.33x = 214,694,679.09 × 214,694,679.09
  4. Step 4: Simplify right side
    158,954,919.33x = 46,093,805,231,168,296
  5. Step 5: Solve for x
    x = 46,093,805,231,168,296/158,954,919.33
  6. Step 6: Final answer
    x = 289,980,363.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.