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Finding the Third Proportional to 42,394,093 and 91,831,068

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Solution

The third proportional to 42,394,093 and 91,831,068 is: 198,917,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,394,093 : 91,831,068 = 91,831,068 : x
  2. Step 2: Convert to fraction form
    42,394,093/91,831,068 = 91,831,068/x
  3. Step 3: Cross multiply
    42,394,093x = 91,831,068 × 91,831,068
  4. Step 4: Simplify right side
    42,394,093x = 8,432,945,050,020,624
  5. Step 5: Solve for x
    x = 8,432,945,050,020,624/42,394,093
  6. Step 6: Final answer
    x = 198,917,925.90

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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.