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Finding the Third Proportional to 133,669,492 and 204,478,099

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Solution

The third proportional to 133,669,492 and 204,478,099 is: 312,796,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,669,492 : 204,478,099 = 204,478,099 : x
  2. Step 2: Convert to fraction form
    133,669,492/204,478,099 = 204,478,099/x
  3. Step 3: Cross multiply
    133,669,492x = 204,478,099 × 204,478,099
  4. Step 4: Simplify right side
    133,669,492x = 41,811,292,970,653,800
  5. Step 5: Solve for x
    x = 41,811,292,970,653,800/133,669,492
  6. Step 6: Final answer
    x = 312,796,078.93

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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.