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Finding the Third Proportional to 206,033,979 and 447,851,598

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Solution

The third proportional to 206,033,979 and 447,851,598 is: 973,485,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033,979 : 447,851,598 = 447,851,598 : x
  2. Step 2: Convert to fraction form
    206,033,979/447,851,598 = 447,851,598/x
  3. Step 3: Cross multiply
    206,033,979x = 447,851,598 × 447,851,598
  4. Step 4: Simplify right side
    206,033,979x = 200,571,053,831,153,600
  5. Step 5: Solve for x
    x = 200,571,053,831,153,600/206,033,979
  6. Step 6: Final answer
    x = 973,485,319.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.