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Finding the Third Proportional to 136,759,712,714 and 297,061,840,090

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Solution

The third proportional to 136,759,712,714 and 297,061,840,090 is: 645,261,203,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,759,712,714 : 297,061,840,090 = 297,061,840,090 : x
  2. Step 2: Convert to fraction form
    136,759,712,714/297,061,840,090 = 297,061,840,090/x
  3. Step 3: Cross multiply
    136,759,712,714x = 297,061,840,090 × 297,061,840,090
  4. Step 4: Simplify right side
    136,759,712,714x = 88,245,736,837,656,726,208,512
  5. Step 5: Solve for x
    x = 88,245,736,837,656,726,208,512/136,759,712,714
  6. Step 6: Final answer
    x = 645,261,203,657.26

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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.