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Finding the Third Proportional to 133,669,466 and 204,478,060

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Solution

The third proportional to 133,669,466 and 204,478,060 is: 312,796,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,669,466 : 204,478,060 = 204,478,060 : x
  2. Step 2: Convert to fraction form
    133,669,466/204,478,060 = 204,478,060/x
  3. Step 3: Cross multiply
    133,669,466x = 204,478,060 × 204,478,060
  4. Step 4: Simplify right side
    133,669,466x = 41,811,277,021,363,600
  5. Step 5: Solve for x
    x = 41,811,277,021,363,600/133,669,466
  6. Step 6: Final answer
    x = 312,796,020.46

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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.