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Finding the Third Proportional to 299,160,485 and 447,091,891

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Solution

The third proportional to 299,160,485 and 447,091,891 is: 668,173,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160,485 : 447,091,891 = 447,091,891 : x
  2. Step 2: Convert to fraction form
    299,160,485/447,091,891 = 447,091,891/x
  3. Step 3: Cross multiply
    299,160,485x = 447,091,891 × 447,091,891
  4. Step 4: Simplify right side
    299,160,485x = 199,891,158,997,955,872
  5. Step 5: Solve for x
    x = 199,891,158,997,955,872/299,160,485
  6. Step 6: Final answer
    x = 668,173,669.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.