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Finding the Third Proportional to 204,694,056 and 292,714,753

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Solution

The third proportional to 204,694,056 and 292,714,753 is: 418,585,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694,056 : 292,714,753 = 292,714,753 : x
  2. Step 2: Convert to fraction form
    204,694,056/292,714,753 = 292,714,753/x
  3. Step 3: Cross multiply
    204,694,056x = 292,714,753 × 292,714,753
  4. Step 4: Simplify right side
    204,694,056x = 85,681,926,623,851,008
  5. Step 5: Solve for x
    x = 85,681,926,623,851,008/204,694,056
  6. Step 6: Final answer
    x = 418,585,318.49

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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.