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Finding the Third Proportional to 96,187,680 and 201,823,198

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Solution

The third proportional to 96,187,680 and 201,823,198 is: 423,470,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,187,680 : 201,823,198 = 201,823,198 : x
  2. Step 2: Convert to fraction form
    96,187,680/201,823,198 = 201,823,198/x
  3. Step 3: Cross multiply
    96,187,680x = 201,823,198 × 201,823,198
  4. Step 4: Simplify right side
    96,187,680x = 40,732,603,250,947,200
  5. Step 5: Solve for x
    x = 40,732,603,250,947,200/96,187,680
  6. Step 6: Final answer
    x = 423,470,066.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.