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Finding the Third Proportional to 136,759,712,733 and 297,061,840,161

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Solution

The third proportional to 136,759,712,733 and 297,061,840,161 is: 645,261,203,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,759,712,733 : 297,061,840,161 = 297,061,840,161 : x
  2. Step 2: Convert to fraction form
    136,759,712,733/297,061,840,161 = 297,061,840,161/x
  3. Step 3: Cross multiply
    136,759,712,733x = 297,061,840,161 × 297,061,840,161
  4. Step 4: Simplify right side
    136,759,712,733x = 88,245,736,879,839,512,625,152
  5. Step 5: Solve for x
    x = 88,245,736,879,839,512,625,152/136,759,712,733
  6. Step 6: Final answer
    x = 645,261,203,876.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.