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Finding the Third Proportional to 222,589,435.50 and 475,746,073.50

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Solution

The third proportional to 222,589,435.50 and 475,746,073.50 is: 1,016,824,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,589,435.50 : 475,746,073.50 = 475,746,073.50 : x
  2. Step 2: Convert to fraction form
    222,589,435.50/475,746,073.50 = 475,746,073.50/x
  3. Step 3: Cross multiply
    222,589,435.50x = 475,746,073.50 × 475,746,073.50
  4. Step 4: Simplify right side
    222,589,435.50x = 226,334,326,450,667,392
  5. Step 5: Solve for x
    x = 226,334,326,450,667,392/222,589,435.50
  6. Step 6: Final answer
    x = 1,016,824,207.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.