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Finding the Third Proportional to 230,250,816 and 469,750,698

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Solution

The third proportional to 230,250,816 and 469,750,698 is: 958,371,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,250,816 : 469,750,698 = 469,750,698 : x
  2. Step 2: Convert to fraction form
    230,250,816/469,750,698 = 469,750,698/x
  3. Step 3: Cross multiply
    230,250,816x = 469,750,698 × 469,750,698
  4. Step 4: Simplify right side
    230,250,816x = 220,665,718,271,487,200
  5. Step 5: Solve for x
    x = 220,665,718,271,487,200/230,250,816
  6. Step 6: Final answer
    x = 958,371,058.59

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.