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Finding the Third Proportional to 92,424,728 and 200,261,002

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Solution

The third proportional to 92,424,728 and 200,261,002 is: 433,914,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,424,728 : 200,261,002 = 200,261,002 : x
  2. Step 2: Convert to fraction form
    92,424,728/200,261,002 = 200,261,002/x
  3. Step 3: Cross multiply
    92,424,728x = 200,261,002 × 200,261,002
  4. Step 4: Simplify right side
    92,424,728x = 40,104,468,922,044,000
  5. Step 5: Solve for x
    x = 40,104,468,922,044,000/92,424,728
  6. Step 6: Final answer
    x = 433,914,925.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.