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Finding the Third Proportional to 86,150,340 and 184,410,465

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Solution

The third proportional to 86,150,340 and 184,410,465 is: 394,742,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,150,340 : 184,410,465 = 184,410,465 : x
  2. Step 2: Convert to fraction form
    86,150,340/184,410,465 = 184,410,465/x
  3. Step 3: Cross multiply
    86,150,340x = 184,410,465 × 184,410,465
  4. Step 4: Simplify right side
    86,150,340x = 34,007,219,601,516,224
  5. Step 5: Solve for x
    x = 34,007,219,601,516,224/86,150,340
  6. Step 6: Final answer
    x = 394,742,720.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.