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Finding the Third Proportional to 204,694,064 and 292,714,760

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Solution

The third proportional to 204,694,064 and 292,714,760 is: 418,585,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694,064 : 292,714,760 = 292,714,760 : x
  2. Step 2: Convert to fraction form
    204,694,064/292,714,760 = 292,714,760/x
  3. Step 3: Cross multiply
    204,694,064x = 292,714,760 × 292,714,760
  4. Step 4: Simplify right side
    204,694,064x = 85,681,930,721,857,600
  5. Step 5: Solve for x
    x = 85,681,930,721,857,600/204,694,064
  6. Step 6: Final answer
    x = 418,585,322.15

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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.