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Finding the Third Proportional to 89,369,974.50 and 192,848,013

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Solution

The third proportional to 89,369,974.50 and 192,848,013 is: 416,139,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369,974.50 : 192,848,013 = 192,848,013 : x
  2. Step 2: Convert to fraction form
    89,369,974.50/192,848,013 = 192,848,013/x
  3. Step 3: Cross multiply
    89,369,974.50x = 192,848,013 × 192,848,013
  4. Step 4: Simplify right side
    89,369,974.50x = 37,190,356,118,048,168
  5. Step 5: Solve for x
    x = 37,190,356,118,048,168/89,369,974.50
  6. Step 6: Final answer
    x = 416,139,271.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.