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Finding the Third Proportional to 255,206,016 and 559,816,416

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Solution

The third proportional to 255,206,016 and 559,816,416 is: 1,228,005,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206,016 : 559,816,416 = 559,816,416 : x
  2. Step 2: Convert to fraction form
    255,206,016/559,816,416 = 559,816,416/x
  3. Step 3: Cross multiply
    255,206,016x = 559,816,416 × 559,816,416
  4. Step 4: Simplify right side
    255,206,016x = 313,394,419,623,085,056
  5. Step 5: Solve for x
    x = 313,394,419,623,085,056/255,206,016
  6. Step 6: Final answer
    x = 1,228,005,611.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.