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Finding the Third Proportional to 80,087,917,132 and 109,066,073,080

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Solution

The third proportional to 80,087,917,132 and 109,066,073,080 is: 148,529,375,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,087,917,132 : 109,066,073,080 = 109,066,073,080 : x
  2. Step 2: Convert to fraction form
    80,087,917,132/109,066,073,080 = 109,066,073,080/x
  3. Step 3: Cross multiply
    80,087,917,132x = 109,066,073,080 × 109,066,073,080
  4. Step 4: Simplify right side
    80,087,917,132x = 11,895,408,297,091,899,850,752
  5. Step 5: Solve for x
    x = 11,895,408,297,091,899,850,752/80,087,917,132
  6. Step 6: Final answer
    x = 148,529,375,255.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.