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Finding the Third Proportional to 199,897,956 and 445,732,878

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Solution

The third proportional to 199,897,956 and 445,732,878 is: 993,896,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,897,956 : 445,732,878 = 445,732,878 : x
  2. Step 2: Convert to fraction form
    199,897,956/445,732,878 = 445,732,878/x
  3. Step 3: Cross multiply
    199,897,956x = 445,732,878 × 445,732,878
  4. Step 4: Simplify right side
    199,897,956x = 198,677,798,530,162,880
  5. Step 5: Solve for x
    x = 198,677,798,530,162,880/199,897,956
  6. Step 6: Final answer
    x = 993,896,098.32

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.