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Finding the Third Proportional to 136,759,712,712 and 297,061,840,086

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Solution

The third proportional to 136,759,712,712 and 297,061,840,086 is: 645,261,203,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,759,712,712 : 297,061,840,086 = 297,061,840,086 : x
  2. Step 2: Convert to fraction form
    136,759,712,712/297,061,840,086 = 297,061,840,086/x
  3. Step 3: Cross multiply
    136,759,712,712x = 297,061,840,086 × 297,061,840,086
  4. Step 4: Simplify right side
    136,759,712,712x = 88,245,736,835,280,233,562,112
  5. Step 5: Solve for x
    x = 88,245,736,835,280,233,562,112/136,759,712,712
  6. Step 6: Final answer
    x = 645,261,203,649.32

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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.