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Finding the Third Proportional to 255,637,970 and 559,105,780

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Solution

The third proportional to 255,637,970 and 559,105,780 is: 1,222,820,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,637,970 : 559,105,780 = 559,105,780 : x
  2. Step 2: Convert to fraction form
    255,637,970/559,105,780 = 559,105,780/x
  3. Step 3: Cross multiply
    255,637,970x = 559,105,780 × 559,105,780
  4. Step 4: Simplify right side
    255,637,970x = 312,599,273,229,408,384
  5. Step 5: Solve for x
    x = 312,599,273,229,408,384/255,637,970
  6. Step 6: Final answer
    x = 1,222,820,198.54

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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.