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Finding the Third Proportional to 133,669,468 and 204,478,063

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Solution

The third proportional to 133,669,468 and 204,478,063 is: 312,796,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,669,468 : 204,478,063 = 204,478,063 : x
  2. Step 2: Convert to fraction form
    133,669,468/204,478,063 = 204,478,063/x
  3. Step 3: Cross multiply
    133,669,468x = 204,478,063 × 204,478,063
  4. Step 4: Simplify right side
    133,669,468x = 41,811,278,248,231,968
  5. Step 5: Solve for x
    x = 41,811,278,248,231,968/133,669,468
  6. Step 6: Final answer
    x = 312,796,024.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.