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Finding the Third Proportional to 204,694,058 and 292,714,756

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Solution

The third proportional to 204,694,058 and 292,714,756 is: 418,585,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694,058 : 292,714,756 = 292,714,756 : x
  2. Step 2: Convert to fraction form
    204,694,058/292,714,756 = 292,714,756/x
  3. Step 3: Cross multiply
    204,694,058x = 292,714,756 × 292,714,756
  4. Step 4: Simplify right side
    204,694,058x = 85,681,928,380,139,536
  5. Step 5: Solve for x
    x = 85,681,928,380,139,536/204,694,058
  6. Step 6: Final answer
    x = 418,585,322.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.