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Finding the Third Proportional to 133,738,499 and 184,796,224

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Solution

The third proportional to 133,738,499 and 184,796,224 is: 255,346,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,738,499 : 184,796,224 = 184,796,224 : x
  2. Step 2: Convert to fraction form
    133,738,499/184,796,224 = 184,796,224/x
  3. Step 3: Cross multiply
    133,738,499x = 184,796,224 × 184,796,224
  4. Step 4: Simplify right side
    133,738,499x = 34,149,644,404,658,176
  5. Step 5: Solve for x
    x = 34,149,644,404,658,176/133,738,499
  6. Step 6: Final answer
    x = 255,346,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.