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Finding the Third Proportional to 129,136,458,619 and 181,773,346,633

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Solution

The third proportional to 129,136,458,619 and 181,773,346,633 is: 255,865,383,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,136,458,619 : 181,773,346,633 = 181,773,346,633 : x
  2. Step 2: Convert to fraction form
    129,136,458,619/181,773,346,633 = 181,773,346,633/x
  3. Step 3: Cross multiply
    129,136,458,619x = 181,773,346,633 × 181,773,346,633
  4. Step 4: Simplify right side
    129,136,458,619x = 33,041,549,546,160,773,922,816
  5. Step 5: Solve for x
    x = 33,041,549,546,160,773,922,816/129,136,458,619
  6. Step 6: Final answer
    x = 255,865,383,792.55

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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.