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Finding the Third Proportional to 141,437,568 and 211,285,307

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Solution

The third proportional to 141,437,568 and 211,285,307 is: 315,626,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,437,568 : 211,285,307 = 211,285,307 : x
  2. Step 2: Convert to fraction form
    141,437,568/211,285,307 = 211,285,307/x
  3. Step 3: Cross multiply
    141,437,568x = 211,285,307 × 211,285,307
  4. Step 4: Simplify right side
    141,437,568x = 44,641,480,954,084,248
  5. Step 5: Solve for x
    x = 44,641,480,954,084,248/141,437,568
  6. Step 6: Final answer
    x = 315,626,757.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.