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Finding the Third Proportional to 114,848,218.50 and 176,530,017

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Solution

The third proportional to 114,848,218.50 and 176,530,017 is: 271,339,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,218.50 : 176,530,017 = 176,530,017 : x
  2. Step 2: Convert to fraction form
    114,848,218.50/176,530,017 = 176,530,017/x
  3. Step 3: Cross multiply
    114,848,218.50x = 176,530,017 × 176,530,017
  4. Step 4: Simplify right side
    114,848,218.50x = 31,162,846,902,020,288
  5. Step 5: Solve for x
    x = 31,162,846,902,020,288/114,848,218.50
  6. Step 6: Final answer
    x = 271,339,401.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.