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Finding the Third Proportional to 255,206,018 and 559,816,420

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Solution

The third proportional to 255,206,018 and 559,816,420 is: 1,228,005,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206,018 : 559,816,420 = 559,816,420 : x
  2. Step 2: Convert to fraction form
    255,206,018/559,816,420 = 559,816,420/x
  3. Step 3: Cross multiply
    255,206,018x = 559,816,420 × 559,816,420
  4. Step 4: Simplify right side
    255,206,018x = 313,394,424,101,616,384
  5. Step 5: Solve for x
    x = 313,394,424,101,616,384/255,206,018
  6. Step 6: Final answer
    x = 1,228,005,618.98

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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.