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Finding the Third Proportional to 80,087,917,071 and 109,066,072,994.50

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Solution

The third proportional to 80,087,917,071 and 109,066,072,994.50 is: 148,529,375,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,087,917,071 : 109,066,072,994.50 = 109,066,072,994.50 : x
  2. Step 2: Convert to fraction form
    80,087,917,071/109,066,072,994.50 = 109,066,072,994.50/x
  3. Step 3: Cross multiply
    80,087,917,071x = 109,066,072,994.50 × 109,066,072,994.50
  4. Step 4: Simplify right side
    80,087,917,071x = 11,895,408,278,441,602,056,192
  5. Step 5: Solve for x
    x = 11,895,408,278,441,602,056,192/80,087,917,071
  6. Step 6: Final answer
    x = 148,529,375,135.28

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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.