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Finding the Third Proportional to 85,542,340 and 184,438,664

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Solution

The third proportional to 85,542,340 and 184,438,664 is: 397,669,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,542,340 : 184,438,664 = 184,438,664 : x
  2. Step 2: Convert to fraction form
    85,542,340/184,438,664 = 184,438,664/x
  3. Step 3: Cross multiply
    85,542,340x = 184,438,664 × 184,438,664
  4. Step 4: Simplify right side
    85,542,340x = 34,017,620,778,104,896
  5. Step 5: Solve for x
    x = 34,017,620,778,104,896/85,542,340
  6. Step 6: Final answer
    x = 397,669,981.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.