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Finding the Third Proportional to 114,782,981,364 and 248,665,811,757.75

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Solution

The third proportional to 114,782,981,364 and 248,665,811,757.75 is: 538,709,529,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782,981,364 : 248,665,811,757.75 = 248,665,811,757.75 : x
  2. Step 2: Convert to fraction form
    114,782,981,364/248,665,811,757.75 = 248,665,811,757.75/x
  3. Step 3: Cross multiply
    114,782,981,364x = 248,665,811,757.75 × 248,665,811,757.75
  4. Step 4: Simplify right side
    114,782,981,364x = 61,834,685,937,140,757,430,272
  5. Step 5: Solve for x
    x = 61,834,685,937,140,757,430,272/114,782,981,364
  6. Step 6: Final answer
    x = 538,709,529,952.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.