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Finding the Third Proportional to 89,307,167 and 192,298,529

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Solution

The third proportional to 89,307,167 and 192,298,529 is: 414,062,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307,167 : 192,298,529 = 192,298,529 : x
  2. Step 2: Convert to fraction form
    89,307,167/192,298,529 = 192,298,529/x
  3. Step 3: Cross multiply
    89,307,167x = 192,298,529 × 192,298,529
  4. Step 4: Simplify right side
    89,307,167x = 36,978,724,255,563,840
  5. Step 5: Solve for x
    x = 36,978,724,255,563,840/89,307,167
  6. Step 6: Final answer
    x = 414,062,224.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.