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Finding the Third Proportional to 199,897,960.50 and 445,732,887.38

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Solution

The third proportional to 199,897,960.50 and 445,732,887.38 is: 993,896,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,897,960.50 : 445,732,887.38 = 445,732,887.38 : x
  2. Step 2: Convert to fraction form
    199,897,960.50/445,732,887.38 = 445,732,887.38/x
  3. Step 3: Cross multiply
    199,897,960.50x = 445,732,887.38 × 445,732,887.38
  4. Step 4: Simplify right side
    199,897,960.50x = 198,677,806,887,654,432
  5. Step 5: Solve for x
    x = 198,677,806,887,654,432/199,897,960.50
  6. Step 6: Final answer
    x = 993,896,117.75

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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.