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Finding the Third Proportional to 129,136,451,431 and 181,773,336,723

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Solution

The third proportional to 129,136,451,431 and 181,773,336,723 is: 255,865,370,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,136,451,431 : 181,773,336,723 = 181,773,336,723 : x
  2. Step 2: Convert to fraction form
    129,136,451,431/181,773,336,723 = 181,773,336,723/x
  3. Step 3: Cross multiply
    129,136,451,431x = 181,773,336,723 × 181,773,336,723
  4. Step 4: Simplify right side
    129,136,451,431x = 33,041,545,943,413,138,915,328
  5. Step 5: Solve for x
    x = 33,041,545,943,413,138,915,328/129,136,451,431
  6. Step 6: Final answer
    x = 255,865,370,135.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.