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Finding the Third Proportional to 199,897,963 and 445,732,892

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Solution

The third proportional to 199,897,963 and 445,732,892 is: 993,896,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,897,963 : 445,732,892 = 445,732,892 : x
  2. Step 2: Convert to fraction form
    199,897,963/445,732,892 = 445,732,892/x
  3. Step 3: Cross multiply
    199,897,963x = 445,732,892 × 445,732,892
  4. Step 4: Simplify right side
    199,897,963x = 198,677,811,010,683,648
  5. Step 5: Solve for x
    x = 198,677,811,010,683,648/199,897,963
  6. Step 6: Final answer
    x = 993,896,125.95

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Why These Related Problems?

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