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Finding the Third Proportional to 113,941,475,370 and 167,499,023,375

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Solution

The third proportional to 113,941,475,370 and 167,499,023,375 is: 246,230,994,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,941,475,370 : 167,499,023,375 = 167,499,023,375 : x
  2. Step 2: Convert to fraction form
    113,941,475,370/167,499,023,375 = 167,499,023,375/x
  3. Step 3: Cross multiply
    113,941,475,370x = 167,499,023,375 × 167,499,023,375
  4. Step 4: Simplify right side
    113,941,475,370x = 28,055,922,831,578,797,965,312
  5. Step 5: Solve for x
    x = 28,055,922,831,578,797,965,312/113,941,475,370
  6. Step 6: Final answer
    x = 246,230,994,819.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.