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Finding the Third Proportional to 89,316,496.50 and 192,318,043.50

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Solution

The third proportional to 89,316,496.50 and 192,318,043.50 is: 414,103,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,316,496.50 : 192,318,043.50 = 192,318,043.50 : x
  2. Step 2: Convert to fraction form
    89,316,496.50/192,318,043.50 = 192,318,043.50/x
  3. Step 3: Cross multiply
    89,316,496.50x = 192,318,043.50 × 192,318,043.50
  4. Step 4: Simplify right side
    89,316,496.50x = 36,986,229,855,667,896
  5. Step 5: Solve for x
    x = 36,986,229,855,667,896/89,316,496.50
  6. Step 6: Final answer
    x = 414,103,007.90

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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.