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Finding the Third Proportional to 80,087,917,113 and 109,066,073,058

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Solution

The third proportional to 80,087,917,113 and 109,066,073,058 is: 148,529,375,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,087,917,113 : 109,066,073,058 = 109,066,073,058 : x
  2. Step 2: Convert to fraction form
    80,087,917,113/109,066,073,058 = 109,066,073,058/x
  3. Step 3: Cross multiply
    80,087,917,113x = 109,066,073,058 × 109,066,073,058
  4. Step 4: Simplify right side
    80,087,917,113x = 11,895,408,292,292,993,220,608
  5. Step 5: Solve for x
    x = 11,895,408,292,292,993,220,608/80,087,917,113
  6. Step 6: Final answer
    x = 148,529,375,230.34

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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.