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Finding the Third Proportional to 85,950,816 and 133,283,376

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Solution

The third proportional to 85,950,816 and 133,283,376 is: 206,681,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,950,816 : 133,283,376 = 133,283,376 : x
  2. Step 2: Convert to fraction form
    85,950,816/133,283,376 = 133,283,376/x
  3. Step 3: Cross multiply
    85,950,816x = 133,283,376 × 133,283,376
  4. Step 4: Simplify right side
    85,950,816x = 17,764,458,317,957,376
  5. Step 5: Solve for x
    x = 17,764,458,317,957,376/85,950,816
  6. Step 6: Final answer
    x = 206,681,671.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.