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Finding the Third Proportional to 184,005,547 and 276,143,027

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Solution

The third proportional to 184,005,547 and 276,143,027 is: 414,416,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,005,547 : 276,143,027 = 276,143,027 : x
  2. Step 2: Convert to fraction form
    184,005,547/276,143,027 = 276,143,027/x
  3. Step 3: Cross multiply
    184,005,547x = 276,143,027 × 276,143,027
  4. Step 4: Simplify right side
    184,005,547x = 76,254,971,360,722,736
  5. Step 5: Solve for x
    x = 76,254,971,360,722,736/184,005,547
  6. Step 6: Final answer
    x = 414,416,698.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.